{"solutions":{"359":"Method: standard\nSteps:\n1. Identify that $480 is 80% of the original price.\n2. Set up the equation: original price = sale price \/ 0.8.\n3. Calculate: original price = 480 \/ 0.8 = 600.\n\nFinal Answer: 600","496":"Method: standard\nSteps:\n1. Identify the fraction $\\frac{4}{7}$.\n2. Write it as $4 \\div 7$.\n\nFinal Answer: $\\dfrac{4}{7}$ = $4 \\div 7$","497":"Method: standard\nSteps:\n1. Identify the fraction $\\frac{2}{4}$.\n2. Write it as $2 \\div 4$.\n3. This shows the division sentence.\n\nFinal Answer: $\\dfrac{2}{4}$ = $2 \\div 4$","498":"Method: standard\nSteps:\n1. Identify the fraction $\\frac{5}{10}$.\n2. Write it as $5 \\div 10$.\n3. This shows the division sentence.\n\nFinal Answer: $\\dfrac{5}{10}$ = $5 \\div 10$","499":"Method: standard\nSteps:\n1. Identify the fraction $\\frac{1}{3}$.\n2. Write it as $1 \\div 3$.\n3. This shows the division sentence.\n\nFinal Answer: $\\dfrac{1}{3}$ = $1 \\div 3$","500":"Method: standard\nSteps:\n1. Identify the fraction $\\frac{4}{8}$.\n2. Write it as $4 \\div 8$.\n3. This shows the division sentence.\n\nFinal Answer: $\\dfrac{4}{8}$ = $4 \\div 8$","501":"Method: standard\nSteps:\n1. Identify the fraction $\\frac{6}{12}$.\n2. Write it as $6 \\div 12$.\n3. This shows the division sentence.\n\nFinal Answer: $\\dfrac{6}{12}$ = $6 \\div 12$","502":"Method: standard\nSteps:\n1. Identify the fraction $\\frac{7}{14}$.\n2. Write it as $7 \\div 14$.\n3. This shows the division sentence.\n\nFinal Answer: $\\dfrac{7}{14}$ = $7 \\div 14$","503":"Method: standard\nSteps:\n1. Identify the fraction $\\frac{8}{16}$.\n2. Write it as $8 \\div 16$.\n3. This shows the division sentence.\n\nFinal Answer: $\\dfrac{8}{16}$ = $8 \\div 16$","1318":"Method: standard\nSteps:\n1. Identify the dollar amount: 12\n2. Identify the cent amount: 30\n3. Combine them to write in decimal: 12.30\n\nFinal Answer: $12.30","1319":"Method: standard\nSteps:\n1. Identify the dollar amount: 18\n2. Identify the cent amount: 55\n3. Combine them to write in decimal: 18.55\n\nFinal Answer: $18.55","1320":"Method: standard\nSteps:\n1. Identify the dollar amount: 25\n2. Identify the cent amount: 70\n3. Combine them to write in decimal: 25.70\n\nFinal Answer: $25.70","1321":"Method: standard\nSteps:\n1. Identify the dollar amount: 9\n2. Identify the cent amount: 99\n3. Combine them to write in decimal: 9.99\n\nFinal Answer: $9.99","1322":"Method: standard\nSteps:\n1. Identify the dollar amount: 17\n2. Identify the cent amount: 25\n3. Combine them to write in decimal: 17.25\n\nFinal Answer: $17.25","1323":"Method: standard\nSteps:\n1. Identify the dollar amount: 8\n2. Identify the cent amount: 50\n3. Combine them as $8.50\n\nFinal Answer: $8.50","1324":"Method: standard\nSteps:\n1. Identify the dollar amount: 20\n2. Identify the cent amount: 15\n3. Combine them as $20.15\n\nFinal Answer: $20.15","1325":"Method: standard\nSteps:\n1. Identify the dollar amount: 15\n2. Identify the cent amount: 75\n3. Combine them as $15.75\n\nFinal Answer: $15.75","1326":"Method: standard\nSteps:\n1. Identify the dollar amount: 4\n2. Identify the cent amount: 20\n3. Combine them as $4.20\n\nFinal Answer: $4.20","1327":"Method: standard\nSteps:\n1. Identify the dollar amount: 17\n2. Identify the cent amount: 80\n3. Combine them as $17.80\n\nFinal Answer: $17.80","1328":"Method: standard\nSteps:\n1. Identify the dollar amount: 25\n2. Identify the cents amount: 50\n3. Combine them as 25.50\n\nFinal Answer: $25.50","1329":"Method: standard\nSteps:\n1. Identify the dollar amount: 43\n2. Identify the cents amount: 25\n3. Combine them as 43.25\n\nFinal Answer: $43.25","1330":"Method: standard\nSteps:\n1. Identify the dollar amount: 60\n2. Identify the cents amount: 70\n3. Combine them as 60.70\n\nFinal Answer: $60.70","1331":"Method: standard\nSteps:\n1. Identify the dollar amount: 89\n2. Identify the cents amount: 99\n3. Combine them as 89.99\n\nFinal Answer: $89.99","1332":"Method: standard\nSteps:\n1. Identify the dollar amount: 50\n2. Identify the cents amount: 55\n3. Combine them as 50.55\n\nFinal Answer: $50.55","1333":"Method: standard\nSteps:\n1. Identify the dollar amount: 70\n2. Identify the cent amount: 20\n3. Combine them as $70.20\n\nFinal Answer: $70.20","1334":"Method: standard\nSteps:\n1. Identify the dollar amount: 85\n2. Identify the cent amount: 45\n3. Combine them as $85.45\n\nFinal Answer: $85.45","1335":"Method: standard\nSteps:\n1. Identify the dollar amount: 90\n2. Identify the cent amount: 99\n3. Combine them as $90.99\n\nFinal Answer: $90.99","1336":"Method: standard\nSteps:\n1. Identify the dollar amount: 30\n2. Identify the cent amount: 15\n3. Combine them as $30.15\n\nFinal Answer: $30.15","1337":"Method: standard\nSteps:\n1. Identify the dollar amount: 60\n2. Identify the cent amount: 77\n3. Combine them as $60.77\n\nFinal Answer: $60.77","1338":"Method: standard\nSteps:\n1. Identify the dollar amount: 25\n2. Identify the cent amount: 50\n3. Combine them as 25.50\n\nFinal Answer: $25.50","1339":"Method: standard\nSteps:\n1. Identify the dollar amount: 40\n2. Identify the cent amount: 25\n3. Combine them as 40.25\n\nFinal Answer: $40.25","1340":"Method: standard\nSteps:\n1. Identify the dollar amount: 63\n2. Identify the cent amount: 10\n3. Combine them as 63.10\n\nFinal Answer: $63.10","1341":"Method: standard\nSteps:\n1. Identify the dollar amount: 88\n2. Identify the cent amount: 50\n3. Combine them as 88.50\n\nFinal Answer: $88.50","1343":"Method: standard\nSteps:\n1. Identify the dollar amount: 30\n2. Identify the cent amount: 50\n3. Write it as 30.50\n\nFinal Answer: $30.50","1344":"Method: standard\nSteps:\n1. Identify the dollar amount: 15\n2. Identify the cent amount: 75\n3. Write it as 15.75\n\nFinal Answer: $15.75","1345":"Method: standard\nSteps:\n1. Identify the dollar amount: 45\n2. Identify the cent amount: 20\n3. Write it as 45.20\n\nFinal Answer: $45.20","1346":"Method: standard\nSteps:\n1. Identify the dollar amount: 60\n2. Identify the cent amount: 5\n3. Write it as 60.05\n\nFinal Answer: $60.05","1347":"Method: standard\nSteps:\n1. Identify the dollar amount: 25\n2. Identify the cent amount: 30\n3. Write it as 25.30\n\nFinal Answer: $25.30","1348":"Method: standard\nSteps:\n1. Compare $3.25, $1.75, $0.90, and $2.50.\n2. Identify the smallest amount as $0.90.\n\nFinal Answer: $0.90","1349":"Method: standard\nSteps:\n1. Look at $4.20, $0.80, $2.10, and $1.50.\n2. The smallest amount is $0.80.\n\nFinal Answer: $0.80","1350":"Method: standard\nSteps:\n1. Review $2.30, $0.45, $1.20, and $0.99.\n2. Identify that $0.45 is the smallest.\n\nFinal Answer: $0.45","1351":"Method: standard\nSteps:\n1. Examine $1.50, $0.60, $3.00, and $2.25.\n2. Find that $0.60 is the lowest.\n\nFinal Answer: $0.60","1352":"Method: standard\nSteps:\n1. Look at $5.00, $0.75, $2.50, and $1.10.\n2. Identify that $0.75 is the smallest.\n\nFinal Answer: $0.75","1355":"Method: standard\nSteps:\n1. Compare $9.99, $7, 800\u00a2, and $10.\n2. Convert 800\u00a2 to dollars: 800\u00a2 = $8.\n3. Now compare $9.99, $7, $8, and $10.\n4. The largest amount is $10.\n\nFinal Answer: $10","1356":"Method: standard\nSteps:\n1. Look at $5.50, $3.75, 400\u00a2, and $6.\n2. Convert 400\u00a2 to dollars: 400\u00a2 = $4.\n3. Now compare $5.50, $3.75, $4, and $6.\n4. The greatest amount is $6.\n\nFinal Answer: $6","1357":"Method: standard\nSteps:\n1. Compare $2.20, $10, 900\u00a2, and $8.\n2. Convert 900\u00a2 to dollars: 900\u00a2 = $9.\n3. Now compare $2.20, $10, $9, and $8.\n4. The highest value is $10.\n\nFinal Answer: $10","1358":"Method: standard\nSteps:\n1. List the amounts: $1.25, $4.50, $2.75, $3.00.\n2. Compare each amount to find the smallest.\n\nFinal Answer: $1.25","1359":"Method: standard\nSteps:\n1. Look at the amounts: $0.50, $2.00, $1.75, $3.25.\n2. Find the least amount.\n\nFinal Answer: $0.50","1360":"Method: standard\nSteps:\n1. List the amounts: $0.30, $1.10, $0.90, $2.50.\n2. Compare the amounts to find the smallest.\n\nFinal Answer: $0.30","1361":"Method: standard\nSteps:\n1. Identify the amounts: $2.25, $0.75, $1.50, $3.00.\n2. Find the smallest amount.\n\nFinal Answer: $0.75","1362":"Method: standard\nSteps:\n1. List the amounts: $1.00, $0.85, $2.20, $1.50.\n2. Determine which is the least.\n\nFinal Answer: $0.85","1368":"Method: standard\nSteps:\n1. Take 320 cents.\n2. Divide by 100 to convert to dollars.\n3. 320 \u00f7 100 = 3.20.\n\nFinal Answer: $3.20","1369":"Method: standard\nSteps:\n1. Start with 150 cents.\n2. Divide by 100.\n3. 150 \u00f7 100 = 1.50.\n\nFinal Answer: $1.50","1370":"Method: standard\nSteps:\n1. Take 240 cents.\n2. Divide by 100 to find the dollar amount.\n3. 240 \u00f7 100 = 2.40.\n\nFinal Answer: $2.40","1371":"Method: standard\nSteps:\n1. Start with 600 cents.\n2. Divide by 100.\n3. 600 \u00f7 100 = 6.00.\n\nFinal Answer: $6.00","1372":"Method: standard\nSteps:\n1. Take 90 cents.\n2. Divide by 100 to get dollars.\n3. 90 \u00f7 100 = 0.90.\n\nFinal Answer: $0.90","1388":"Method: standard\nSteps:\n1. Calculate 4 * 20 = 80\n2. Calculate 2 * 10 = 20\n3. Calculate 6 * 1 = 6\n4. Add 80 + 20 + 6 = 106\n\nFinal Answer: $106","1389":"Method: standard\nSteps:\n1. Calculate 3 * 20 = 60\n2. Calculate 4 * 5 = 20\n3. Calculate 2 * 1 = 2\n4. Add 60 + 20 + 2 = 82\n\nFinal Answer: $82","1390":"Method: standard\nSteps:\n1. Calculate 6 * 10 = 60\n2. Calculate 1 * 20 = 20\n3. Calculate 3 * 5 = 15\n4. Add 60 + 20 + 15 = 95\n\nFinal Answer: $95","1391":"Method: standard\nSteps:\n1. Calculate 5 * 20 = 100\n2. Calculate 2 * 10 = 20\n3. Calculate 4 * 1 = 4\n4. Add 100 + 20 + 4 = 124\n\nFinal Answer: $124","1392":"Method: standard\nSteps:\n1. Calculate 8 * 5 = 40\n2. Calculate 3 * 10 = 30\n3. Calculate 2 * 20 = 40\n4. Add 40 + 30 + 40 = 110\n\nFinal Answer: $110","2888":"Given: The price of an item is N dollars. N is a decimal number with 2 decimal places. When rounded to 1 decimal place, the price is 5.5 dollars. What is the highest possible price of the item?
Step 1: Understand the problem
N has 2 decimal places: N = _._ _
When rounded to 1 decimal place, N = 5.5
Step 2: Find values that round to 5.5 (1 decimal place)
For a number to round to 5.5:
- Look at the hundredths digit
- If the hundredths digit is 0, 1, 2, 3, or 4 \u2192 round down
- If the hundredths digit is 5, 6, 7, 8, or 9 \u2192 round up
Numbers that round down to 5.5: 5.50, 5.51, 5.52, 5.53, 5.54
Numbers that round up to 5.5: 5.45, 5.46, 5.47, 5.48, 5.49
Step 3: Identify the highest value
Comparing all possibilities:
5.45 < 5.46 < 5.47 < 5.48 < 5.49 < 5.50 < 5.51 < 5.52 < 5.53 < 5.54
Highest N = 5.54
Step 4: Verify
N = 5.54 rounded to 1 decimal place:
Hundredths digit = 4
Since 4 < 5, round down
5.54 \u2192 5.5 \u2713
Answer: The highest possible price of the item is $5.54.","2898":"Given: A shop sells apples at $K per kg, where K has 2 decimal places. When the price is rounded to 1 decimal place, it shows $3.5. A customer buys 2 kg of apples. What is the maximum amount the customer could pay?
Step 1: Understand the problem
K has 2 decimal places and rounds to 3.5
Customer buys 2 kg of apples
Total cost = 2 \u00d7 K
To maximize the amount paid, K must be as large as possible
Step 2: Find the greatest value of K that rounds to 3.5
For a number to round to 3.5:
- Look at the hundredths digit
- If the hundredths digit is 0, 1, 2, 3, or 4 \u2192 round down
- If the hundredths digit is 5, 6, 7, 8, or 9 \u2192 round up
Numbers that round down to 3.5: 3.50, 3.51, 3.52, 3.53, 3.54
Numbers that round up to 3.5: 3.45, 3.46, 3.47, 3.48, 3.49
Greatest K = 3.54
Step 3: Calculate the maximum amount
Maximum amount = 2 \u00d7 K
Maximum amount = 2 \u00d7 3.54
Maximum amount = $7.08
Step 4: Verify
K = 3.54 rounded to 1 decimal place:
Hundredths digit = 4, since 4 < 5, round down \u2192 3.5 \u2713
Total cost = 2 \u00d7 3.54 = $7.08 \u2713
Answer: The maximum amount the customer could pay is $7.08.","2913":"Given: Mr Wong bought 5 bottles of juice at $2.35 each. He paid with a $20 note. How much change did he receive?
Step 1: Find the total cost of 5 bottles of juice
Cost of 1 bottle = $2.35
Cost of 5 bottles = $2.35 \u00d7 5
Multiply as if there were no decimal:
235 \u00d7 5 = 1175
Count decimal places:
2.35 has 2 decimal places
Total = 2 decimal places
Place the decimal point:
1175 \u2192 11.75
Total cost = $11.75
Step 2: Find the change
Change = Amount paid \u2212 Total cost
Change = $20 \u2212 $11.75
Change = $8.25
Step 3: Verify
Total cost: 2.35 \u00d7 5 = 11.75 \u2713
Change: 20 \u2212 11.75 = 8.25 \u2713
Check: 11.75 + 8.25 = 20 \u2713
Answer: Mr Wong received $8.25 in change.","2916":"Given: A ribbon costs $2.45 per metre. Mrs Lee buys 6 metres of the ribbon. How much does she pay in total?
Step 1: Identify the operation needed
Cost per metre = $2.45
Length of ribbon = 6 metres
Total cost = Cost per metre \u00d7 Length
Step 2: Calculate 2.45 \u00d7 6
Multiply as if there were no decimal:
245 \u00d7 6 = 1470
Count decimal places:
2.45 has 2 decimal places
6 has 0 decimal places
Total = 2 decimal places
Place the decimal point:
1470 \u2192 14.70
So 2.45 \u00d7 6 = 14.70
Step 3: Verify
2.45 \u00d7 6
= 2 \u00d7 6 + 0.45 \u00d7 6
= 12 + 2.70
= 14.70 \u2713
Answer: Mrs Lee pays $14.70 in total.","2923":"Given: Sarah bought 9 identical notebooks. She paid $7.29 in total. What was the cost of each notebook?
Step 1: Identify the operation needed
Total cost = $7.29
Number of notebooks = 9
Cost of each notebook = Total cost \u00f7 Number of notebooks
Step 2: Set up the division
7.29 \u00f7 9
Step 3: Perform the division
7 \u00f7 9 = 0 remainder 7
72 \u00f7 9 = 8 remainder 0
9 \u00f7 9 = 1 remainder 0
So 7.29 \u00f7 9 = 0.81
Step 4: Verify
0.81 \u00d7 9
= 0.8 \u00d7 9 + 0.01 \u00d7 9
= 7.2 + 0.09
= 7.29 \u2713
Answer: The cost of each notebook was $0.81.","2933":"Given: Ali bought 6 bottles of juice at $1.85 each and 4 packets of biscuits at $2.35 each. How much did he spend altogether?
Step 1: Calculate the cost of 6 bottles of juice
Cost of juice = $1.85 \u00d7 6
Multiply as if there were no decimal:
185 \u00d7 6 = 1110
Count decimal places:
1.85 has 2 decimal places
Total = 2 decimal places
Place the decimal point:
1110 \u2192 11.10
Cost of juice = $11.10
Step 2: Calculate the cost of 4 packets of biscuits
Cost of biscuits = $2.35 \u00d7 4
Multiply as if there were no decimal:
235 \u00d7 4 = 940
Count decimal places:
2.35 has 2 decimal places
Total = 2 decimal places
Place the decimal point:
940 \u2192 9.40
Cost of biscuits = $9.40
Step 3: Find the total amount spent
Total = Cost of juice + Cost of biscuits
Total = $11.10 + $9.40
Total = $20.50
Step 4: Verify
Cost of juice: 1.85 \u00d7 6 = 11.10 \u2713
Cost of biscuits: 2.35 \u00d7 4 = 9.40 \u2713
Total: 11.10 + 9.40 = 20.50 \u2713
Answer: Ali spent $20.50 altogether.","2939":"Given: 4 notebooks cost $5.40. Each notebook costs $_____.
Step 1: Identify the operation needed
Total cost = $5.40
Number of notebooks = 4
Cost of each notebook = Total cost \u00f7 Number of notebooks
Step 2: Divide the total cost by 4
Cost of each notebook = 5.40 \u00f7 4
5 \u00f7 4 = 1 remainder 1
14 \u00f7 4 = 3 remainder 2
20 \u00f7 4 = 5 remainder 0
5.40 \u00f7 4 = 1.35
Step 3: Verify
1.35 \u00d7 4
= 1 \u00d7 4 + 0.35 \u00d7 4
= 4 + 1.40
= 5.40 \u2713
Answer: Each notebook costs $1.35.","2943":"Given: James sold 9 books at $4.15 each. He collected $___ from the sale.
Step 1: Understand the problem
Cost of each book = $4.15
Number of books sold = 9
Total collected = Cost of each book \u00d7 Number of books
Step 2: Calculate 4.15 \u00d7 9
Multiply as if there were no decimal:
415 \u00d7 9 = 3735
Count decimal places:
4.15 has 2 decimal places
9 has 0 decimal places
Total = 2 decimal places
Place the decimal point:
3735 \u2192 37.35
So 4.15 \u00d7 9 = 37.35
Step 3: Verify
4.15 \u00d7 9
= 4 \u00d7 9 + 0.15 \u00d7 9
= 36 + 1.35
= 37.35 \u2713
Answer: He collected $37.35 from the sale.","2944":"Given: A talking robot costs $46, 8 times as much as a doll. Each doll costs $_____.
Step 1: Understand the problem
Robot cost = $46
Robot cost = 8 times doll cost
Doll cost = Robot cost \u00f7 8
Step 2: Calculate 46 \u00f7 8
46 \u00f7 8
46 \u00f7 8 = 5 remainder 6
60 \u00f7 8 = 7 remainder 4
40 \u00f7 8 = 5 remainder 0
So 46 \u00f7 8 = 5.75
Step 3: Verify
Doll cost \u00d7 8 = Robot cost
5.75 \u00d7 8
= 5 \u00d7 8 + 0.75 \u00d7 8
= 40 + 6
= 46 \u2713
Answer: Each doll costs $5.75.","2945":"Given: 4 girls equally share the cost of a $9.8 pizza. Each pays $_____.
Step 1: Understand the problem
Total cost of pizza = $9.8
Number of girls = 4
Cost per girl = Total cost \u00f7 Number of girls
Step 2: Calculate 9.8 \u00f7 4
9.8 \u00f7 4
9 \u00f7 4 = 2 remainder 1
18 \u00f7 4 = 4 remainder 2
20 \u00f7 4 = 5 remainder 0
So 9.8 \u00f7 4 = 2.45
Step 3: Verify
2.45 \u00d7 4
= 2 \u00d7 4 + 0.45 \u00d7 4
= 8 + 1.80
= 9.80 \u2713
Answer: Each pays $2.45.","2946":"Given: 2 identical packs of fruit juice cost $7.30. 5 packs cost $_____.
Step 1: Understand the problem
Cost of 2 packs = $7.30
Need to find: Cost of 5 packs
Step 2: Find the cost of 1 pack
Cost of 1 pack = $7.30 \u00f7 2
7 \u00f7 2 = 3 remainder 1
13 \u00f7 2 = 6 remainder 1
10 \u00f7 2 = 5 remainder 0
Cost of 1 pack = $3.65
Step 3: Find the cost of 5 packs
Cost of 5 packs = $3.65 \u00d7 5
Multiply as if there were no decimal:
365 \u00d7 5 = 1825
Count decimal places:
3.65 has 2 decimal places
Total = 2 decimal places
Place the decimal point:
1825 \u2192 18.25
Cost of 5 packs = $18.25
Step 4: Verify
Cost of 1 pack: 7.30 \u00f7 2 = 3.65 \u2713
Cost of 5 packs: 3.65 \u00d7 5 = 18.25 \u2713
Check: 3.65 \u00d7 2 = 7.30 \u2713
Answer: 5 packs cost $18.25.","2947":"Given: Mandy saved $18.75. Holly saved twice as much as Mandy. Together, the girls saved $_____.
Step 1: Understand the problem
Mandy's savings = $18.75
Holly's savings = 2 times Mandy's savings
Total savings = Mandy's savings + Holly's savings
Step 2: Find how much Holly saved
Holly's savings = $18.75 \u00d7 2
Multiply as if there were no decimal:
1875 \u00d7 2 = 3750
Count decimal places:
18.75 has 2 decimal places
Total = 2 decimal places
Place the decimal point:
3750 \u2192 37.50
Holly's savings = $37.50
Step 3: Find the total savings
Total = Mandy's savings + Holly's savings
Total = $18.75 + $37.50
Total = $56.25
Step 4: Verify
Holly's savings: 18.75 \u00d7 2 = 37.50 \u2713
Total savings: 18.75 + 37.50 = 56.25 \u2713
Answer: Together, the girls saved $56.25.","2948":"Given: Mabel and Judy bought a small cake and a packet of milk, which cost $8.70 and $3.40 respectively. They shared the cost equally. Each paid $_____.
Step 1: Understand the problem
Cost of small cake = $8.70
Cost of packet of milk = $3.40
Number of people sharing = 2
Step 2: Find the total cost
Total cost = Cost of cake + Cost of milk
Total cost = $8.70 + $3.40
Total cost = $12.10
Step 3: Divide the total cost equally between 2 people
Each paid = $12.10 \u00f7 2
12 \u00f7 2 = 6 remainder 0
1 \u00f7 2 = 0 remainder 1
10 \u00f7 2 = 5 remainder 0
Each paid = $6.05
Step 4: Verify
Total cost: 8.70 + 3.40 = 12.10 \u2713
Each paid: 12.10 \u00f7 2 = 6.05 \u2713
Check: 6.05 \u00d7 2 = 12.10 \u2713
Answer: Each paid $6.05.","2950":"Given: Jack spent $17.50, twice what his son spent, in a bookstore. Altogether, they spent $_____.
Step 1: Understand the problem
Jack's spending = $17.50
Jack spent twice what his son spent
So: Jack's spending = 2 \u00d7 Son's spending
Step 2: Find how much the son spent
Son's spending = Jack's spending \u00f7 2
Son's spending = $17.50 \u00f7 2
17 \u00f7 2 = 8 remainder 1
15 \u00f7 2 = 7 remainder 1
10 \u00f7 2 = 5 remainder 0
Son's spending = $8.75
Step 3: Find the total amount spent
Total = Jack's spending + Son's spending
Total = $17.50 + $8.75
Total = $26.25
Step 4: Verify
Son's spending: 17.50 \u00f7 2 = 8.75 \u2713
Jack spent twice son's spending: 8.75 \u00d7 2 = 17.50 \u2713
Total: 17.50 + 8.75 = 26.25 \u2713
Answer: Altogether, they spent $26.25.","2952":"Given: Charlie bought 4 tins of paint, each at $23.99. He gave the cashier a $100 note. How much change did he receive?
Step 1: Understand the problem
Cost of each tin of paint = $23.99
Number of tins = 4
Amount paid = $100
Step 2: Find the total cost of 4 tins of paint
Total cost = $23.99 \u00d7 4
Multiply as if there were no decimal:
2399 \u00d7 4 = 9596
Count decimal places:
23.99 has 2 decimal places
Total = 2 decimal places
Place the decimal point:
9596 \u2192 95.96
Total cost = $95.96
Step 3: Find the change
Change = Amount paid \u2212 Total cost
Change = $100 \u2212 $95.96
Change = $4.04
Step 4: Verify
Total cost: 23.99 \u00d7 4 = 95.96 \u2713
Change: 100 \u2212 95.96 = 4.04 \u2713
Check: 95.96 + 4.04 = 100 \u2713
Answer: Charlie received $4.04 in change.","2953":"Given: Amos paid $42.60 for a comic book and a magazine. The comic book cost three times the magazine. How much is the magazine?
Step 1: Understand the problem
Total cost = $42.60
Comic book cost = 3 times magazine cost
Step 2: Use the unitary method
Let magazine cost = 1 unit
Then comic book cost = 3 units
Total = 1 unit + 3 units = 4 units
4 units = $42.60
Step 3: Find the value of 1 unit (magazine cost)
1 unit = $42.60 \u00f7 4
42 \u00f7 4 = 10 remainder 2
26 \u00f7 4 = 6 remainder 2
20 \u00f7 4 = 5 remainder 0
1 unit = $10.65
Magazine cost = $10.65
Step 4: Verify
Magazine cost: $10.65
Comic book cost: $10.65 \u00d7 3 = $31.95
Total: $10.65 + $31.95 = $42.60 \u2713
Answer: The magazine costs $10.65.","2954":"Given: Linda has $5.20, twice as much money as Sue. Sue has 4 times as much money as Pat. How much does Pat have?
Step 1: Understand the problem
Linda's money = $5.20
Linda has twice as much as Sue
Sue has 4 times as much as Pat
Step 2: Find how much Sue has
Linda = 2 \u00d7 Sue
Sue = Linda \u00f7 2
Sue = $5.20 \u00f7 2
5 \u00f7 2 = 2 remainder 1
12 \u00f7 2 = 6 remainder 0
0 \u00f7 2 = 0 remainder 0
Sue = $2.60
Step 3: Find how much Pat has
Sue = 4 \u00d7 Pat
Pat = Sue \u00f7 4
Pat = $2.60 \u00f7 4
2 \u00f7 4 = 0 remainder 2
26 \u00f7 4 = 6 remainder 2
20 \u00f7 4 = 5 remainder 0
Pat = $0.65
Step 4: Verify
Pat's money: $0.65
Sue's money: $0.65 \u00d7 4 = $2.60 \u2713
Linda's money: $2.60 \u00d7 2 = $5.20 \u2713
Answer: Pat has $0.65.","2955":"Given: Jill has twenty-two 20\u00a2 and 50\u00a2 coins. The total amount of money that she has is $8.30. Number of 20\u00a2 coins is _____.
Step 1: Understand the problem
Total number of coins = 22
Total value = $8.30 = 830\u00a2
Types of coins: 20\u00a2 and 50\u00a2
Step 2: Use the assumption method
Assume all 22 coins are 50\u00a2 coins
Total value = 22 \u00d7 50\u00a2 = 1100\u00a2 = $11.00
Step 3: Find the difference
Difference = $11.00 \u2212 $8.30 = $2.70 = 270\u00a2
Step 4: Find the number of 20\u00a2 coins
Difference between one 50\u00a2 coin and one 20\u00a2 coin = 50\u00a2 \u2212 20\u00a2 = 30\u00a2
Number of 20\u00a2 coins = 270\u00a2 \u00f7 30\u00a2
Number of 20\u00a2 coins = 9
Step 5: Verify
Number of 20\u00a2 coins = 9
Number of 50\u00a2 coins = 22 \u2212 9 = 13
Value of 20\u00a2 coins: 9 \u00d7 $0.20 = $1.80
Value of 50\u00a2 coins: 13 \u00d7 $0.50 = $6.50
Total value: $1.80 + $6.50 = $8.30 \u2713
Total coins: 9 + 13 = 22 \u2713
Answer: The number of 20\u00a2 coins is 9.","2956":"Given: Stan wants to buy 8 pizzas, each $19.45. Stan needs at least ___ pieces of $10 notes.
Step 1: Understand the problem
Cost of each pizza = $19.45
Number of pizzas = 8
Need to find minimum number of $10 notes required
Step 2: Find the total cost of 8 pizzas
Total cost = $19.45 \u00d7 8
Multiply as if there were no decimal:
1945 \u00d7 8 = 15560
Count decimal places:
19.45 has 2 decimal places
Total = 2 decimal places
Place the decimal point:
15560 \u2192 155.60
Total cost = $155.60
Step 3: Find the minimum number of $10 notes
Number of $10 notes = $155.60 \u00f7 $10
= 15.56
Since Stan cannot use a fraction of a note, he needs to round up to the next whole number.
15.56 \u2192 16 notes
Step 4: Verify
16 \u00d7 $10 = $160
$160 > $155.60 \u2713 (enough to pay)
15 \u00d7 $10 = $150
$150 < $155.60 \u2717 (not enough to pay)
Answer: Stan needs at least 16 pieces of $10 notes.","2957":"Given: Jack has some 10\u00a2 and 5\u00a2 coins. The total amount of money that he has is $1.70. He has 8 more 10\u00a2 coins than 5\u00a2 coins. The total number of coins is _____.
Step 1: Understand the problem
Total value = $1.70 = 170\u00a2
Number of 10\u00a2 coins = Number of 5\u00a2 coins + 8
Step 2: Use the assumption method
Let the number of 5\u00a2 coins = 1 unit
Then the number of 10\u00a2 coins = 1 unit + 8
Step 3: Set up the equation
Value of 5\u00a2 coins + Value of 10\u00a2 coins = 170\u00a2
(1 unit \u00d7 5\u00a2) + (1 unit + 8) \u00d7 10\u00a2 = 170\u00a2
5 \u00d7 1 unit + 10 \u00d7 1 unit + 80 = 170
15 units + 80 = 170
15 units = 170 \u2212 80
15 units = 90
1 unit = 90 \u00f7 15
1 unit = 6
Step 4: Find the number of each type of coin
Number of 5\u00a2 coins = 6
Number of 10\u00a2 coins = 6 + 8 = 14
Step 5: Find the total number of coins
Total number of coins = 6 + 14 = 20
Step 6: Verify
Number of 5\u00a2 coins: 6
Number of 10\u00a2 coins: 14
Difference: 14 \u2212 6 = 8 \u2713
Value of 5\u00a2 coins: 6 \u00d7 $0.05 = $0.30
Value of 10\u00a2 coins: 14 \u00d7 $0.10 = $1.40
Total value: $0.30 + $1.40 = $1.70 \u2713
Answer: The total number of coins is 20.","2958":"Given: Mrs Tan bought 3 kg of chicken at $7.85 per kg and 2 kg of fish at $12.40 per kg. How much did she spend altogether?
Step 1: Understand the problem
Chicken: 3 kg at $7.85 per kg
Fish: 2 kg at $12.40 per kg
Step 2: Find the cost of chicken
Cost of chicken = $7.85 \u00d7 3
Multiply as if there were no decimal:
785 \u00d7 3 = 2355
Count decimal places:
7.85 has 2 decimal places
Total = 2 decimal places
Place the decimal point:
2355 \u2192 23.55
Cost of chicken = $23.55
Step 3: Find the cost of fish
Cost of fish = $12.40 \u00d7 2
Multiply as if there were no decimal:
1240 \u00d7 2 = 2480
Count decimal places:
12.40 has 2 decimal places
Total = 2 decimal places
Place the decimal point:
2480 \u2192 24.80
Cost of fish = $24.80
Step 4: Find the total amount spent
Total = Cost of chicken + Cost of fish
Total = $23.55 + $24.80
Total = $48.35
Step 5: Verify
Cost of chicken: 7.85 \u00d7 3 = 23.55 \u2713
Cost of fish: 12.40 \u00d7 2 = 24.80 \u2713
Total: 23.55 + 24.80 = 48.35 \u2713
Answer: 48.35 dollars","2962":"Given: John earns $18.50 per hour. He works 8 hours on Monday and 6 hours on Tuesday. How much does he earn in total for the two days?
Step 1: Understand the problem
Earnings per hour = $18.50
Hours worked on Monday = 8 hours
Hours worked on Tuesday = 6 hours
Step 2: Find the total hours worked
Total hours = Monday + Tuesday
Total hours = 8 + 6
Total hours = 14 hours
Step 3: Calculate total earnings
Total earnings = $18.50 \u00d7 14
Multiply as if there were no decimal:
1850 \u00d7 14 = 25900
Count decimal places:
18.50 has 2 decimal places
Total = 2 decimal places
Place the decimal point:
25900 \u2192 259.00
Total earnings = $259.00
Step 4: Verify
Total hours: 8 + 6 = 14 hours \u2713
Total earnings: 18.50 \u00d7 14 = 259.00 \u2713
Alternative check:
Monday earnings: 18.50 \u00d7 8 = 148.00
Tuesday earnings: 18.50 \u00d7 6 = 111.00
Total: 148.00 + 111.00 = 259.00 \u2713
Answer: John earns $259.00 in total for the two days.","2964":"Given: Sarah bought 5 identical books. She paid $100 and received $13.75 in change. What was the cost of each book?
Step 1: Understand the problem
Number of books = 5
Amount paid = $100
Change received = $13.75
Step 2: Find the total cost of 5 books
Total cost = Amount paid \u2212 Change received
Total cost = $100 \u2212 $13.75
Total cost = $86.25
Step 3: Find the cost of each book
Cost of each book = Total cost \u00f7 Number of books
Cost of each book = $86.25 \u00f7 5
8 \u00f7 5 = 1 remainder 3
36 \u00f7 5 = 7 remainder 1
12 \u00f7 5 = 2 remainder 2
25 \u00f7 5 = 5 remainder 0
Cost of each book = $17.25
Step 4: Verify
Total cost: 100 \u2212 13.75 = 86.25 \u2713
Cost of each book: 86.25 \u00f7 5 = 17.25 \u2713
Check: 17.25 \u00d7 5 = 86.25 \u2713
Check: 86.25 + 13.75 = 100 \u2713
Answer: The cost of each book was $17.25.","2968":"Given: A supermarket sells oranges at $0.83 each. Mary bought some oranges and paid $20. She received $3.40 in change. How many oranges did she buy?
Step 1: Understand the problem
Cost of each orange = $0.83
Amount paid = $20
Change received = $3.40
Step 2: Find the total cost of oranges
Total cost = Amount paid \u2212 Change received
Total cost = $20 \u2212 $3.40
Total cost = $16.60
Step 3: Find the number of oranges
Number of oranges = Total cost \u00f7 Cost of each orange
Number of oranges = $16.60 \u00f7 $0.83
Multiply both by 100 to remove decimals:
1660 \u00f7 83
83 \u00d7 20 = 1660
So 1660 \u00f7 83 = 20
Number of oranges = 20
Step 4: Verify
Total cost: 20 \u2212 3.40 = 16.60 \u2713
Number of oranges: 16.60 \u00f7 0.83 = 20 \u2713
Check: 0.83 \u00d7 20 = 16.60 \u2713
Check: 16.60 + 3.40 = 20 \u2713
Answer: Mary bought 20 oranges.","2972":"Given: Mae saved $4.50 per week for 8 weeks. Her brother saved $6.25 per week for 5 weeks. How much more did Mae save than her brother?
Step 1: Understand the problem
Mae's savings per week = $4.50
Mae's number of weeks = 8
Brother's savings per week = $6.25
Brother's number of weeks = 5
Step 2: Find Mae's total savings
Mae's total = $4.50 \u00d7 8
Multiply as if there were no decimal:
450 \u00d7 8 = 3600
Count decimal places:
4.50 has 2 decimal places
Total = 2 decimal places
Place the decimal point:
3600 \u2192 36.00
Mae's total savings = $36.00
Step 3: Find brother's total savings
Brother's total = $6.25 \u00d7 5
Multiply as if there were no decimal:
625 \u00d7 5 = 3125
Count decimal places:
6.25 has 2 decimal places
Total = 2 decimal places
Place the decimal point:
3125 \u2192 31.25
Brother's total savings = $31.25
Step 4: Find the difference
Difference = Mae's total \u2212 Brother's total
Difference = $36.00 \u2212 $31.25
Difference = $4.75
Step 5: Verify
Mae's total: 4.50 \u00d7 8 = 36.00 \u2713
Brother's total: 6.25 \u00d7 5 = 31.25 \u2713
Difference: 36.00 \u2212 31.25 = 4.75 \u2713
Answer: Mae saved $4.75 more than her brother.","2974":"Given: A fruit seller bought 15 kg of apples at $2.40 per kg. He sold all the apples at $3.15 per kg. How much profit did he make?
Step 1: Understand the problem
Amount of apples = 15 kg
Buying price = $2.40 per kg
Selling price = $3.15 per kg
Profit = Total selling price \u2212 Total buying price
Step 2: Find the total cost (buying price)
Total cost = $2.40 \u00d7 15
Multiply as if there were no decimal:
240 \u00d7 15 = 3600
Count decimal places:
2.40 has 2 decimal places
Total = 2 decimal places
Place the decimal point:
3600 \u2192 36.00
Total cost = $36.00
Step 3: Find the total revenue (selling price)
Total revenue = $3.15 \u00d7 15
Multiply as if there were no decimal:
315 \u00d7 15 = 4725
Count decimal places:
3.15 has 2 decimal places
Total = 2 decimal places
Place the decimal point:
4725 \u2192 47.25
Total revenue = $47.25
Step 4: Find the profit
Profit = Total revenue \u2212 Total cost
Profit = $47.25 \u2212 $36.00
Profit = $11.25
Step 5: Verify
Total cost: 2.40 \u00d7 15 = 36.00 \u2713
Total revenue: 3.15 \u00d7 15 = 47.25 \u2713
Profit: 47.25 \u2212 36.00 = 11.25 \u2713
Answer: He made a profit of $11.25.","2981":"Given: An electrician charges $45.50 for the first hour and $38.75 for each additional hour. How much does he charge for a job that takes 5 hours?
Step 1: Understand the problem
Charge for first hour = $45.50
Charge for each additional hour = $38.75
Total hours = 5 hours
Step 2: Find the number of additional hours
Additional hours = Total hours \u2212 First hour
Additional hours = 5 \u2212 1
Additional hours = 4 hours
Step 3: Find the charge for additional hours
Charge for additional hours = $38.75 \u00d7 4
Multiply as if there were no decimal:
3875 \u00d7 4 = 15500
Count decimal places:
38.75 has 2 decimal places
Total = 2 decimal places
Place the decimal point:
15500 \u2192 155.00
Charge for additional hours = $155.00
Step 4: Find the total charge
Total charge = Charge for first hour + Charge for additional hours
Total charge = $45.50 + $155.00
Total charge = $200.50
Step 5: Verify
Additional hours: 5 \u2212 1 = 4 hours \u2713
Charge for additional hours: 38.75 \u00d7 4 = 155.00 \u2713
Total charge: 45.50 + 155.00 = 200.50 \u2713
Answer: He charges $200.50 for a job that takes 5 hours.","2984":"Given: The postage for a parcel is $1.25 for the first 100 g and $0.45 for every additional 100 g. A parcel weighs 700 g. What is the total postage cost?
Step 1: Understand the problem
Postage for first 100 g = $1.25
Postage for each additional 100 g = $0.45
Parcel weight = 700 g
Step 2: Find the additional weight
Additional weight = Total weight \u2212 First 100 g
Additional weight = 700 \u2212 100
Additional weight = 600 g
Step 3: Find the number of additional 100 g units
Number of additional units = 600 \u00f7 100
Number of additional units = 6
Step 4: Find the cost of additional weight
Cost of additional weight = $0.45 \u00d7 6
Multiply as if there were no decimal:
45 \u00d7 6 = 270
Count decimal places:
0.45 has 2 decimal places
Total = 2 decimal places
Place the decimal point:
270 \u2192 2.70
Cost of additional weight = $2.70
Step 5: Find the total postage cost
Total postage = Cost for first 100 g + Cost for additional weight
Total postage = $1.25 + $2.70
Total postage = $3.95
Step 6: Verify
Additional weight: 700 \u2212 100 = 600 g \u2713
Number of additional units: 600 \u00f7 100 = 6 \u2713
Cost of additional weight: 0.45 \u00d7 6 = 2.70 \u2713
Total postage: 1.25 + 2.70 = 3.95 \u2713
Answer: The total postage cost is $3.95.","2986":"Given: A printing shop charges $0.15 per black-and-white page and $0.85 per colour page. Mr Lim prints 45 black-and-white pages and 12 colour pages. He pays with a $20 note. How much change does he receive?
Step 1: Understand the problem
Cost per black-and-white page = $0.15
Cost per colour page = $0.85
Number of black-and-white pages = 45
Number of colour pages = 12
Amount paid = $20
Step 2: Find the cost of black-and-white pages
Cost of black-and-white pages = $0.15 \u00d7 45
Multiply as if there were no decimal:
15 \u00d7 45 = 675
Count decimal places:
0.15 has 2 decimal places
Total = 2 decimal places
Place the decimal point:
675 \u2192 6.75
Cost of black-and-white pages = $6.75
Step 3: Find the cost of colour pages
Cost of colour pages = $0.85 \u00d7 12
Multiply as if there were no decimal:
85 \u00d7 12 = 1020
Count decimal places:
0.85 has 2 decimal places
Total = 2 decimal places
Place the decimal point:
1020 \u2192 10.20
Cost of colour pages = $10.20
Step 4: Find the total cost
Total cost = Cost of black-and-white + Cost of colour
Total cost = $6.75 + $10.20
Total cost = $16.95
Step 5: Find the change
Change = Amount paid \u2212 Total cost
Change = $20.00 \u2212 $16.95
Change = $3.05
Step 6: Verify
Cost of black-and-white pages: 0.15 \u00d7 45 = 6.75 \u2713
Cost of colour pages: 0.85 \u00d7 12 = 10.20 \u2713
Total cost: 6.75 + 10.20 = 16.95 \u2713
Change: 20.00 \u2212 16.95 = 3.05 \u2713
Answer: Mr Lim receives $3.05 in change.","2989":"Given: Mr Lim's car uses 6.85 litres of petrol per 100 km. He drives 400 km and petrol costs $2.45 per litre. How much does he spend on petrol for the journey?
Step 1: Understand the problem
Petrol usage = 6.85 litres per 100 km
Distance driven = 400 km
Petrol cost = $2.45 per litre
Step 2: Find the number of 100 km units
Number of units = 400 \u00f7 100
Number of units = 4
Step 3: Find the total petrol used
Petrol used = 6.85 \u00d7 4
Multiply as if there were no decimal:
685 \u00d7 4 = 2740
Count decimal places:
6.85 has 2 decimal places
Total = 2 decimal places
Place the decimal point:
2740 \u2192 27.40
Petrol used = 27.40 litres
Step 4: Find the total cost of petrol
Total cost = 27.40 \u00d7 2.45
Multiply as if there were no decimal:
2740 \u00d7 245 = 671300
Count decimal places:
27.40 has 2 decimal places
2.45 has 2 decimal places
Total = 4 decimal places
Place the decimal point:
671300 \u2192 67.1300
Total cost = $67.13
Step 5: Verify
Number of 100 km units: 400 \u00f7 100 = 4 \u2713
Petrol used: 6.85 \u00d7 4 = 27.40 litres \u2713
Total cost: 27.40 \u00d7 2.45 = 67.13 \u2713
Answer: Mr Lim spends $67.13 on petrol for the journey.","2992":"Given: A taxi charges $3.50 for the first kilometre and $0.65 for each additional kilometre. George travels 12 km. How much does he pay for the taxi ride?
Step 1: Understand the problem
Charge for first kilometre = $3.50
Charge for each additional kilometre = $0.65
Total distance = 12 km
Step 2: Find the number of additional kilometres
Additional kilometres = Total distance \u2212 First kilometre
Additional kilometres = 12 \u2212 1
Additional kilometres = 11 km
Step 3: Find the charge for additional kilometres
Charge for additional kilometres = $0.65 \u00d7 11
Multiply as if there were no decimal:
65 \u00d7 11 = 715
Count decimal places:
0.65 has 2 decimal places
Total = 2 decimal places
Place the decimal point:
715 \u2192 7.15
Charge for additional kilometres = $7.15
Step 4: Find the total fare
Total fare = Charge for first kilometre + Charge for additional kilometres
Total fare = $3.50 + $7.15
Total fare = $10.65
Step 5: Verify
Additional kilometres: 12 \u2212 1 = 11 km \u2713
Charge for additional kilometres: 0.65 \u00d7 11 = 7.15 \u2713
Total fare: 3.50 + 7.15 = 10.65 \u2713
Answer: George pays $10.65 for the taxi ride.","2993":"Given: A photographer prints 8 large photos at $4.75 each and 15 small photos at $1.85 each. She pays with a $100 note. How much change does she receive?
Step 1: Understand the problem
Large photos: 8 at $4.75 each
Small photos: 15 at $1.85 each
Amount paid = $100
Step 2: Find the cost of large photos
Cost of large photos = $4.75 \u00d7 8
Multiply as if there were no decimal:
475 \u00d7 8 = 3800
Count decimal places:
4.75 has 2 decimal places
Total = 2 decimal places
Place the decimal point:
3800 \u2192 38.00
Cost of large photos = $38.00
Step 3: Find the cost of small photos
Cost of small photos = $1.85 \u00d7 15
Multiply as if there were no decimal:
185 \u00d7 15 = 2775
Count decimal places:
1.85 has 2 decimal places
Total = 2 decimal places
Place the decimal point:
2775 \u2192 27.75
Cost of small photos = $27.75
Step 4: Find the total cost
Total cost = Cost of large photos + Cost of small photos
Total cost = $38.00 + $27.75
Total cost = $65.75
Step 5: Find the change
Change = Amount paid \u2212 Total cost
Change = $100.00 \u2212 $65.75
Change = $34.25
Step 6: Verify
Cost of large photos: 4.75 \u00d7 8 = 38.00 \u2713
Cost of small photos: 1.85 \u00d7 15 = 27.75 \u2713
Total cost: 38.00 + 27.75 = 65.75 \u2713
Change: 100.00 \u2212 65.75 = 34.25 \u2713
Check: 65.75 + 34.25 = 100.00 \u2713
Answer: She receives $34.25 in change.","2994":"Given: A library charges a fine of $0.35 per day for each overdue book. Kevin returned 4 books that were 6 days overdue and 2 books that were 9 days overdue. How much fine did he pay in total?
Step 1: Understand the problem
Fine per day per book = $0.35
4 books overdue for 6 days
2 books overdue for 9 days
Step 2: Find the fine for 4 books that were 6 days overdue
Total overdue days = 4 \u00d7 6 = 24 days
Fine = $0.35 \u00d7 24
Multiply as if there were no decimal:
35 \u00d7 24 = 840
Count decimal places:
0.35 has 2 decimal places
Total = 2 decimal places
Place the decimal point:
840 \u2192 8.40
Fine for 4 books = $8.40
Step 3: Find the fine for 2 books that were 9 days overdue
Total overdue days = 2 \u00d7 9 = 18 days
Fine = $0.35 \u00d7 18
Multiply as if there were no decimal:
35 \u00d7 18 = 630
Count decimal places:
0.35 has 2 decimal places
Total = 2 decimal places
Place the decimal point:
630 \u2192 6.30
Fine for 2 books = $6.30
Step 4: Find the total fine
Total fine = Fine for 4 books + Fine for 2 books
Total fine = $8.40 + $6.30
Total fine = $14.70
Step 5: Verify
Fine for 4 books (6 days): 0.35 \u00d7 24 = 8.40 \u2713
Fine for 2 books (9 days): 0.35 \u00d7 18 = 6.30 \u2713
Total fine: 8.40 + 6.30 = 14.70 \u2713
Alternative check:
Total book-days = 24 + 18 = 42
Total fine = 0.35 \u00d7 42 = 14.70 \u2713
Answer: Kevin paid $14.70 in total fines.","2995":"Given: A caterer prepares food for a party. She uses 2.65 kg of chicken for every 10 guests. If there are 80 guests and chicken costs $8.50 per kg, how much does she spend on chicken?
Step 1: Understand the problem
Chicken per 10 guests = 2.65 kg
Number of guests = 80
Cost of chicken = $8.50 per kg
Step 2: Find the number of groups of 10 guests
Number of groups = 80 \u00f7 10
Number of groups = 8
Step 3: Find the total amount of chicken needed
Total chicken = 2.65 \u00d7 8
Multiply as if there were no decimal:
265 \u00d7 8 = 2120
Count decimal places:
2.65 has 2 decimal places
Total = 2 decimal places
Place the decimal point:
2120 \u2192 21.20
Total chicken = 21.2 kg
Step 4: Find the total cost of chicken
Total cost = 21.2 \u00d7 8.50
Multiply as if there were no decimal:
212 \u00d7 850 = 180200
Count decimal places:
21.2 has 1 decimal place
8.50 has 2 decimal places
Total = 3 decimal places
Place the decimal point:
180200 \u2192 180.200
Total cost = $180.20
Step 5: Verify
Number of groups: 80 \u00f7 10 = 8 \u2713
Total chicken: 2.65 \u00d7 8 = 21.2 kg \u2713
Total cost: 21.2 \u00d7 8.50 = 180.20 \u2713
Answer: She spends $180.20 on chicken.","2996":"Given: A mobile phone plan charges $0.08 per minute for calls and $0.05 per text message. In one month, Lily made 125 minutes of calls and sent 240 text messages. How much did she spend on her phone that month?
Step 1: Understand the problem
Cost per minute for calls = $0.08
Cost per text message = $0.05
Minutes of calls = 125
Number of text messages = 240
Step 2: Find the cost of calls
Cost of calls = $0.08 \u00d7 125
Multiply as if there were no decimal:
8 \u00d7 125 = 1000
Count decimal places:
0.08 has 2 decimal places
Total = 2 decimal places
Place the decimal point:
1000 \u2192 10.00
Cost of calls = $10.00
Step 3: Find the cost of text messages
Cost of text messages = $0.05 \u00d7 240
Multiply as if there were no decimal:
5 \u00d7 240 = 1200
Count decimal places:
0.05 has 2 decimal places
Total = 2 decimal places
Place the decimal point:
1200 \u2192 12.00
Cost of text messages = $12.00
Step 4: Find the total cost
Total cost = Cost of calls + Cost of text messages
Total cost = $10.00 + $12.00
Total cost = $22.00
Step 5: Verify
Cost of calls: 0.08 \u00d7 125 = 10.00 \u2713
Cost of text messages: 0.05 \u00d7 240 = 12.00 \u2713
Total cost: 10.00 + 12.00 = 22.00 \u2713
Answer: Lily spent $22.00 on her phone that month.","2999":"Given: A gym membership costs $45.75 per month. New members receive a discount of $8.50 off their first 3 months. How much does a new member pay for the first 6 months of membership?
Step 1: Understand the problem
Normal monthly cost = $45.75
Discount for first 3 months = $8.50 off per month
Total period = 6 months
Step 2: Find the discounted price for the first 3 months
Discounted price per month = $45.75 \u2212 $8.50
Discounted price per month = $37.25
Step 3: Find the cost for the first 3 months
Cost for first 3 months = $37.25 \u00d7 3
Multiply as if there were no decimal:
3725 \u00d7 3 = 11175
Count decimal places:
37.25 has 2 decimal places
Total = 2 decimal places
Place the decimal point:
11175 \u2192 111.75
Cost for first 3 months = $111.75
Step 4: Find the cost for the next 3 months (at full price)
Cost for next 3 months = $45.75 \u00d7 3
Multiply as if there were no decimal:
4575 \u00d7 3 = 13725
Count decimal places:
45.75 has 2 decimal places
Total = 2 decimal places
Place the decimal point:
13725 \u2192 137.25
Cost for next 3 months = $137.25
Step 5: Find the total cost for 6 months
Total cost = Cost for first 3 months + Cost for next 3 months
Total cost = $111.75 + $137.25
Total cost = $249.00
Step 6: Verify
Discounted price: 45.75 \u2212 8.50 = 37.25 \u2713
Cost for first 3 months: 37.25 \u00d7 3 = 111.75 \u2713
Cost for next 3 months: 45.75 \u00d7 3 = 137.25 \u2713
Total cost: 111.75 + 137.25 = 249.00 \u2713
Answer: A new member pays $249.00 for the first 6 months of membership.","3000":"Given: A mobile phone plan costs $28.50 plus $0.08 for each text message sent. Last month, David sent 225 text messages. How much was his phone bill?
Step 1: Understand the problem
Base cost of plan = $28.50
Cost per text message = $0.08
Number of text messages = 225
Step 2: Find the cost of text messages
Cost of text messages = $0.08 \u00d7 225
Multiply as if there were no decimal:
8 \u00d7 225 = 1800
Count decimal places:
0.08 has 2 decimal places
Total = 2 decimal places
Place the decimal point:
1800 \u2192 18.00
Cost of text messages = $18.00
Step 3: Find the total phone bill
Total bill = Base cost + Cost of text messages
Total bill = $28.50 + $18.00
Total bill = $46.50
Step 4: Verify
Cost of text messages: 0.08 \u00d7 225 = 18.00 \u2713
Total bill: 28.50 + 18.00 = 46.50 \u2713
Answer: David's phone bill was $46.50.","3002":"Given: A pharmacist has 5.625 litres of cough syrup. She pours it into small bottles of 0.125 litres each. If she sells each bottle at $4.80, how much money will she collect from selling all the bottles?
Step 1: Understand the problem
Total cough syrup = 5.625 litres
Each bottle holds = 0.125 litres
Selling price per bottle = $4.80
Step 2: Find the number of bottles
Number of bottles = 5.625 \u00f7 0.125
Multiply both by 1000 to remove decimals:
5625 \u00f7 125
125 \u00d7 45 = 5625
Number of bottles = 45
Step 3: Find the total money collected
Total money = $4.80 \u00d7 45
Multiply as if there were no decimal:
480 \u00d7 45 = 21600
Count decimal places:
4.80 has 2 decimal places
Total = 2 decimal places
Place the decimal point:
21600 \u2192 216.00
Total money = $216.00
Step 4: Verify
Number of bottles: 5.625 \u00f7 0.125 = 45 \u2713
Check: 0.125 \u00d7 45 = 5.625 litres \u2713
Total money: 4.80 \u00d7 45 = 216.00 \u2713
Answer: She will collect $216.00 from selling all the bottles.","3004":"Given: A library charges a fine of $0.25 per day for overdue books. Amy returned 3 books that were each 8 days overdue and 2 books that were each 5 days overdue. How much fine did Amy have to pay?
Step 1: Understand the problem
Fine per day per book = $0.25
3 books overdue for 8 days
2 books overdue for 5 days
Step 2: Find the fine for 3 books that were 8 days overdue
Total overdue days = 3 \u00d7 8 = 24 days
Fine = $0.25 \u00d7 24
Multiply as if there were no decimal:
25 \u00d7 24 = 600
Count decimal places:
0.25 has 2 decimal places
Total = 2 decimal places
Place the decimal point:
600 \u2192 6.00
Fine for 3 books = $6.00
Step 3: Find the fine for 2 books that were 5 days overdue
Total overdue days = 2 \u00d7 5 = 10 days
Fine = $0.25 \u00d7 10
Multiply as if there were no decimal:
25 \u00d7 10 = 250
Count decimal places:
0.25 has 2 decimal places
Total = 2 decimal places
Place the decimal point:
250 \u2192 2.50
Fine for 2 books = $2.50
Step 4: Find the total fine
Total fine = Fine for 3 books + Fine for 2 books
Total fine = $6.00 + $2.50
Total fine = $8.50
Step 5: Verify
Fine for 3 books (8 days): 0.25 \u00d7 24 = 6.00 \u2713
Fine for 2 books (5 days): 0.25 \u00d7 10 = 2.50 \u2713
Total fine: 6.00 + 2.50 = 8.50 \u2713
Alternative check:
Total book-days = 24 + 10 = 34
Total fine = 0.25 \u00d7 34 = 8.50 \u2713
Answer: Amy had to pay $8.50 in fines.","3006":"Given: A bakery sells cupcakes at $1.85 each or a box of 6 for $9.90. Princess buys 4 boxes and 5 individual cupcakes. How much does she spend altogether?
Step 1: Understand the problem
Cost per individual cupcake = $1.85
Cost per box of 6 = $9.90
Number of boxes = 4
Number of individual cupcakes = 5
Step 2: Find the cost of 4 boxes
Cost of boxes = $9.90 \u00d7 4
Multiply as if there were no decimal:
990 \u00d7 4 = 3960
Count decimal places:
9.90 has 2 decimal places
Total = 2 decimal places
Place the decimal point:
3960 \u2192 39.60
Cost of boxes = $39.60
Step 3: Find the cost of 5 individual cupcakes
Cost of individual cupcakes = $1.85 \u00d7 5
Multiply as if there were no decimal:
185 \u00d7 5 = 925
Count decimal places:
1.85 has 2 decimal places
Total = 2 decimal places
Place the decimal point:
925 \u2192 9.25
Cost of individual cupcakes = $9.25
Step 4: Find the total cost
Total cost = Cost of boxes + Cost of individual cupcakes
Total cost = $39.60 + $9.25
Total cost = $48.85
Step 5: Verify
Cost of 4 boxes: 9.90 \u00d7 4 = 39.60 \u2713
Cost of 5 individual cupcakes: 1.85 \u00d7 5 = 9.25 \u2713
Total cost: 39.60 + 9.25 = 48.85 \u2713
Answer: Princess spends $48.85 altogether.","3009":"Given: An ice cream shop sells scoops at $2.35 each. Toppings cost $0.65 per topping. A family orders 8 scoops with a total of 5 toppings. They pay with a $50 note. How much change do they receive?
Step 1: Understand the problem
Cost per scoop = $2.35
Cost per topping = $0.65
Number of scoops = 8
Number of toppings = 5
Amount paid = $50
Step 2: Find the cost of 8 scoops
Cost of scoops = $2.35 \u00d7 8
Multiply as if there were no decimal:
235 \u00d7 8 = 1880
Count decimal places:
2.35 has 2 decimal places
Total = 2 decimal places
Place the decimal point:
1880 \u2192 18.80
Cost of scoops = $18.80
Step 3: Find the cost of 5 toppings
Cost of toppings = $0.65 \u00d7 5
Multiply as if there were no decimal:
65 \u00d7 5 = 325
Count decimal places:
0.65 has 2 decimal places
Total = 2 decimal places
Place the decimal point:
325 \u2192 3.25
Cost of toppings = $3.25
Step 4: Find the total cost
Total cost = Cost of scoops + Cost of toppings
Total cost = $18.80 + $3.25
Total cost = $22.05
Step 5: Find the change
Change = Amount paid \u2212 Total cost
Change = $50.00 \u2212 $22.05
Change = $27.95
Step 6: Verify
Cost of scoops: 2.35 \u00d7 8 = 18.80 \u2713
Cost of toppings: 0.65 \u00d7 5 = 3.25 \u2713
Total cost: 18.80 + 3.25 = 22.05 \u2713
Change: 50.00 \u2212 22.05 = 27.95 \u2713
Check: 22.05 + 27.95 = 50.00 \u2713
Answer: They receive $27.95 in change.","3011":"Given: Concert tickets cost $78.50 for adults and $45.25 for children. A group buys 4 adult tickets and 6 children tickets. They receive a group discount of $25.80. How much do they pay altogether?
Step 1: Understand the problem
Adult ticket = $78.50
Children ticket = $45.25
Number of adult tickets = 4
Number of children tickets = 6
Group discount = $25.80
Step 2: Find the cost of adult tickets
Cost of adult tickets = $78.50 \u00d7 4
Multiply as if there were no decimal:
7850 \u00d7 4 = 31400
Count decimal places:
78.50 has 2 decimal places
Total = 2 decimal places
Place the decimal point:
31400 \u2192 314.00
Cost of adult tickets = $314.00
Step 3: Find the cost of children tickets
Cost of children tickets = $45.25 \u00d7 6
Multiply as if there were no decimal:
4525 \u00d7 6 = 27150
Count decimal places:
45.25 has 2 decimal places
Total = 2 decimal places
Place the decimal point:
27150 \u2192 271.50
Cost of children tickets = $271.50
Step 4: Find the total cost before discount
Total before discount = Adult tickets + Children tickets
Total before discount = $314.00 + $271.50
Total before discount = $585.50
Step 5: Apply the group discount
Total after discount = Total before discount \u2212 Discount
Total after discount = $585.50 \u2212 $25.80
Total after discount = $559.70
Step 6: Verify
Cost of adult tickets: 78.50 \u00d7 4 = 314.00 \u2713
Cost of children tickets: 45.25 \u00d7 6 = 271.50 \u2713
Total before discount: 314.00 + 271.50 = 585.50 \u2713
Total after discount: 585.50 \u2212 25.80 = 559.70 \u2713
Check: 559.70 + 25.80 = 585.50 \u2713
Answer: They pay $559.70 altogether.","3169":"Given: A square playground has an area of 225 m\u00b2. A fence costs $15 per metre. Find the cost to fence the entire playground.
Step 1: Identify the information
Area = 225 m\u00b2
Cost of fence = $15 per metre
Step 2: Use the area formula for a square
Area = Side \u00d7 Side
225 = Side\u00b2
Step 3: Solve for side
Side = \u221a225 = 15 m
Step 4: Calculate the perimeter
Perimeter = 4 \u00d7 Side
Perimeter = 4 \u00d7 15 = 60 m
Step 5: Calculate the total cost
Total cost = Perimeter \u00d7 Cost per metre
Total cost = 60 \u00d7 $15 = $900
Step 6: Verify
Area = 15 \u00d7 15 = 225 m\u00b2 \u2713
Answer: The cost to fence the entire playground is $900","3180":"Given: A square room has a perimeter of 52 m. Carpet costs $12 per m\u00b2. Find the cost to carpet the entire room.
Step 1: Identify the information
Perimeter = 52 m
Cost of carpet = $12 per m\u00b2
Step 2: Use the perimeter formula for a square
Perimeter = 4 \u00d7 Side
52 = 4 \u00d7 Side
Step 3: Solve for side
Side = 52 \u00f7 4 = 13 m
Step 4: Calculate the area of the room
Area = Side \u00d7 Side
Area = 13 \u00d7 13 = 169 m\u00b2
Step 5: Calculate the total cost
Total cost = Area \u00d7 Cost per m\u00b2
Total cost = 169 \u00d7 $12 = $2028
Step 6: Verify
Perimeter = 4 \u00d7 13 = 52 m \u2713
Answer: The cost to carpet the entire room is $2028","3185":"Given: A square kitchen has an area of 169 m\u00b2. Tiles measuring 1 m by 1 m cost $8 each. Find the cost to tile the kitchen floor.
Step 1: Identify the information
Area of kitchen = 169 m\u00b2
Tile size = 1 m \u00d7 1 m = 1 m\u00b2
Cost per tile = $8
Step 2: Calculate the number of tiles needed
Number of tiles = Area of kitchen \u00f7 Area of one tile
Number of tiles = 169 \u00f7 1 = 169 tiles
Step 3: Calculate the total cost
Total cost = Number of tiles \u00d7 Cost per tile
Total cost = 169 \u00d7 $8 = $1352
Step 4: Verify
169 tiles \u00d7 1 m\u00b2 = 169 m\u00b2 \u2713
Answer: The cost to tile the kitchen floor is $1352","3192":"Given: A square playground has an area of 400 m\u00b2. A fence costs $12 per metre. Find the total cost of fencing the playground.
Step 1: Identify the information
Area = 400 m\u00b2
Cost of fence = $12 per metre
Step 2: Use the area formula for a square
Area = Side \u00d7 Side
400 = Side\u00b2
Step 3: Solve for side
Side = \u221a400 = 20 m
Step 4: Calculate the perimeter
Perimeter = 4 \u00d7 Side
Perimeter = 4 \u00d7 20 = 80 m
Step 5: Calculate the total cost
Total cost = Perimeter \u00d7 Cost per metre
Total cost = 80 \u00d7 $12 = $960
Step 6: Verify
Area = 20 \u00d7 20 = 400 m\u00b2 \u2713
Answer: The total cost of fencing the playground is $960","3206":"Given: A square room has a perimeter of 52 m. Carpet costs $15 per m\u00b2. Find the cost to carpet the entire room.
Step 1: Identify the information
Perimeter = 52 m
Cost of carpet = $15 per m\u00b2
Step 2: Use the perimeter formula for a square
Perimeter = 4 \u00d7 Side
52 = 4 \u00d7 Side
Step 3: Solve for side
Side = 52 \u00f7 4 = 13 m
Step 4: Calculate the area of the room
Area = Side \u00d7 Side
Area = 13 \u00d7 13 = 169 m\u00b2
Step 5: Calculate the total cost
Total cost = Area \u00d7 Cost per m\u00b2
Total cost = 169 \u00d7 $15 = $2535
Step 6: Verify
Perimeter = 4 \u00d7 13 = 52 m \u2713
Answer: The cost to carpet the entire room is $2535","3214":"Given: A square billboard has a perimeter of 52 m. The cost of painting is $8 per m\u00b2. Find the total cost of painting the billboard.
Step 1: Identify the information
Perimeter = 52 m
Cost of painting = $8 per m\u00b2
Step 2: Use the perimeter formula for a square
Perimeter = 4 \u00d7 Side
52 = 4 \u00d7 Side
Step 3: Solve for side
Side = 52 \u00f7 4 = 13 m
Step 4: Calculate the area of the billboard
Area = Side \u00d7 Side
Area = 13 \u00d7 13 = 169 m\u00b2
Step 5: Calculate the total cost
Total cost = Area \u00d7 Cost per m\u00b2
Total cost = 169 \u00d7 $8 = $1352
Step 6: Verify
Perimeter = 4 \u00d7 13 = 52 m \u2713
Answer: The total cost of painting the billboard is $1352","3215":"Given: A square room has an area of 81 m\u00b2. Skirting boards cost $12 per metre. Find the total cost of the skirting boards needed for the room.
Step 1: Identify the information
Area = 81 m\u00b2
Cost of skirting boards = $12 per metre
Step 2: Use the area formula for a square
Area = Side \u00d7 Side
81 = Side\u00b2
Step 3: Solve for side
Side = \u221a81 = 9 m
Step 4: Calculate the perimeter
Perimeter = 4 \u00d7 Side
Perimeter = 4 \u00d7 9 = 36 m
Step 5: Calculate the total cost
Total cost = Perimeter \u00d7 Cost per metre
Total cost = 36 \u00d7 $12 = $432
Step 6: Verify
Area = 9 \u00d7 9 = 81 m\u00b2 \u2713
Answer: The total cost of the skirting boards needed for the room is $432","3218":"Given: A square tablecloth has an area of 324 cm\u00b2. Lace costing $0.50 per cm is sewn around its edge. Find the total cost of the lace.
Step 1: Identify the information
Area = 324 cm\u00b2
Cost of lace = $0.50 per cm
Step 2: Use the area formula for a square
Area = Side \u00d7 Side
324 = Side\u00b2
Step 3: Solve for side
Side = \u221a324 = 18 cm
Step 4: Calculate the perimeter
Perimeter = 4 \u00d7 Side
Perimeter = 4 \u00d7 18 = 72 cm
Step 5: Calculate the total cost
Total cost = Perimeter \u00d7 Cost per cm
Total cost = 72 \u00d7 $0.50 = $36
Step 6: Verify
Area = 18 \u00d7 18 = 324 cm\u00b2 \u2713
Answer: The total cost of the lace is $36","3224":"Given: A square patio has an area of 324 m\u00b2. The owner wants to build a fence around it at $12 per metre. Find the cost of the fence.
Step 1: Find the side length of the patio
Area of square = Side \u00d7 Side
324 = Side \u00d7 Side
Side = \u221a324 = 18 m
Step 2: Find the perimeter of the patio
Perimeter = 4 \u00d7 Side
Perimeter = 4 \u00d7 18 = 72 m
Step 3: Calculate the cost of the fence
Cost = Perimeter \u00d7 Price per metre
Cost = 72 \u00d7 $12 = $864
Answer: The fence will cost $864","3277":"Visitors over the weekend = 600 + 550 = 1150.
Revenue = 1150 x 0.02 = $23","3283":"Given: Electricity costs $0.25 per kWh. What was the total electricity bill for the first quarter (Jan\u2013Mar)?
\n\nStep 1: Identify the monthly consumption from the graph
\nJan: 280 kWh
\nFeb: 240 kWh
\nMar: 200 kWh
\n\nStep 2: Calculate the total consumption
\nTotal consumption = Jan + Feb + Mar
\nTotal consumption = 280 + 240 + 200
\nTotal consumption = 720 kWh
\n\nStep 3: Apply the cost per kWh
\nCost per kWh = $0.25
\nTotal bill = Total consumption \u00d7 Cost per kWh
\nTotal bill = 720 \u00d7 0.25
\n\nStep 4: Perform the calculation
\n720 \u00d7 0.25 = 720 \u00d7 \\frac{1}{4} = \\frac{720}{4} = 180
\n\nStep 5: Verify
\nCheck: 180 \u00f7 0.25 = 720 kWh \u2713
\nCheck: 280 + 240 + 200 = 720 kWh \u2713
\n\nAnswer: The total electricity bill for the first quarter (Jan\u2013Mar) = $180","3287":"Given: The government offers a rebate of $10 for every month where consumption stays below 200 kWh. How much rebate did the household earn over the 8 months?
\n\nStep 1: Identify the monthly consumption from the graph
\nJan: 280 kWh
\nFeb: 240 kWh
\nMar: 200 kWh
\nApr: 160 kWh
\nMay: 180 kWh
\nJun: 220 kWh
\nJul: 300 kWh
\nAug: 320 kWh
\n\nStep 2: Determine which months qualify for rebate (below 200 kWh)
\nJan: 280 kWh \u2192 280 \u2265 200 \u2192 No rebate \u2717
\nFeb: 240 kWh \u2192 240 \u2265 200 \u2192 No rebate \u2717
\nMar: 200 kWh \u2192 200 \u2265 200 \u2192 No rebate \u2717
\nApr: 160 kWh \u2192 160 < 200 \u2192 Qualifies for rebate \u2713
\nMay: 180 kWh \u2192 180 < 200 \u2192 Qualifies for rebate \u2713
\nJun: 220 kWh \u2192 220 \u2265 200 \u2192 No rebate \u2717
\nJul: 300 kWh \u2192 300 \u2265 200 \u2192 No rebate \u2717
\nAug: 320 kWh \u2192 320 \u2265 200 \u2192 No rebate \u2717
\n\nStep 3: Count the months that qualify for rebate
\nMonths that qualify: Apr, May
\nNumber of months = 2
\n\nStep 4: Calculate total rebate
\nRebate per month = $10
\nTotal rebate = Number of qualifying months \u00d7 Rebate per month
\nTotal rebate = 2 \u00d7 $10 = $20
\n\nStep 5: Verify
\nApr: 160 kWh < 200 kWh \u2713
\nMay: 180 kWh < 200 kWh \u2713
\n2 months \u00d7 $10 = $20 \u2713
\n\nAnswer: The household earned a total rebate of $20 over the 8 months","3294":"Given: If Apples sell for $3 per kg, what was the total revenue from Apples over the 3 days?
\n\nStep 1: Identify the known values for Apples from the table
\nMonday: 45 kg
\nTuesday: ? kg (unknown)
\nWednesday: 38 kg
\nTotal Sold: 120 kg
\n\nStep 2: Use the Total Sold to find the revenue
\nSince we already know the Total Sold = 120 kg, we can calculate revenue directly.
\n\nStep 3: Calculate total revenue
\nPrice per kg = $3
\nTotal revenue = Total Sold \u00d7 Price per kg
\nTotal revenue = 120 \u00d7 $3
\nTotal revenue = $360
\n\nStep 4: Verify
\nWe can also verify by finding Tuesday's sales:
\nTuesday = Total Sold \u2212 Monday \u2212 Wednesday
\nTuesday = 120 \u2212 45 \u2212 38 = 37 kg
\nTotal kg = 45 + 37 + 38 = 120 kg \u2713
\nTotal revenue = 120 \u00d7 $3 = $360 \u2713
\n\nAnswer: The total revenue from Apples over the 3 days = $360","3296":"Given: If \\(\\frac{2}{5}\\) of the Grapes sold on Monday were seedless grapes priced at $4 per kg and the rest were regular grapes priced at 2.50 dollars per kg, what was the total revenue from Grapes on Monday?
\n\nStep 1: Identify the total Grapes sold on Monday from the table
\nMonday's Grapes = 30 kg
\n\nStep 2: Calculate the kg of seedless grapes sold
\nSeedless grapes = \\(\\frac{2}{5}\\) \u00d7 Monday's total
\nSeedless grapes = \\(\\frac{2}{5}\\) \u00d7 30
\nSeedless grapes = \\(\\frac{60}{5}\\)
\nSeedless grapes = 12 kg
\n\nStep 3: Calculate the kg of regular grapes sold
\nRegular grapes = Total \u2212 Seedless grapes
\nRegular grapes = 30 \u2212 12
\nRegular grapes = 18 kg
\n\nAlternatively:
\nRegular grapes = \\(\\frac{3}{5}\\) \u00d7 30 = \\(\\frac{90}{5}\\) = 18 kg
\n\nStep 4: Calculate revenue from each type
\nSeedless grapes revenue = 12 \u00d7 $4 = $48
\nRegular grapes revenue = 18 \u00d7 $2.50 = $45
\n\nStep 5: Calculate total revenue
\nTotal revenue = Seedless revenue + Regular revenue
\nTotal revenue = $48 + $45
\nTotal revenue = $93
\n\nStep 6: Verify
\nSeedless: \\(\\frac{2}{5}\\) \u00d7 30 = 12 kg \u2713
\nRegular: \\(\\frac{3}{5}\\) \u00d7 30 = 18 kg \u2713
\n12 + 18 = 30 kg \u2713
\nRevenue: (12 \u00d7 4) + (18 \u00d7 2.5) = 48 + 45 = $93 \u2713
\n\nAnswer: The total revenue from Grapes on Monday = $93","3297":"Given: The household pays a tiered electricity rate:
$0.20 per kWh for the first 200 kWh and
$0.35 per kWh for any consumption above 200 kWh. What was the total electricity bill for July and August combined?
\n\nStep 1: Identify the consumption for July and August from the graph
\nJuly: 300 kWh
\nAugust: 320 kWh
\n\nStep 2: Calculate the bill for July
\nFirst 200 kWh: 200 \u00d7