Total people = 990. Thrill rides : Family rides = 3 : 8.
[[model:questions/solutions/q10507.png]]
Total units = 3 + 8 = 11 units
• 11 units → 990
• 1 unit → 990 ÷ 11 = 90
• Thrill rides = 3 units = 3 × 90 = 270
• Family rides = 8 units = 8 × 90 = 720
Now split each group into teens and adults:
Thrill — teens : adults = 5 : 4
• Teens (thrill) = \( \frac{5}{9} \) × 270 = 150
• Adults (thrill) = \( \frac{4}{9} \) × 270 = 120
Family — teens : adults = 2 : 7
• Teens (family) = \( \frac{2}{9} \) × 720 = 160
• Adults (family) = \( \frac{7}{9} \) × 720 = 560
Total teens = 150 + 160 = 310
Total adults = 120 + 560 = 680
Adults more than teens = 680 - 310 = 370
Check: 310 + 680 = 990. ✓
Final Answer: 370