Total drinks = 120. Hot : Cold = 5 : 3.
[[model:questions/solutions/q10499.png]]
Total units = 5 + 3 = 8 units
• 8 units → 120
• 1 unit → 120 ÷ 8 = 15
• Hot drinks = 5 units = 5 × 15 = 75
• Cold drinks = 3 units = 3 × 15 = 45
Now find coffee in each group:
Hot drinks — coffee : tea = 4 : 1, so coffee (hot) = \( \frac{4}{5} \) × 75 = 60
Cold drinks — coffee : tea = 1 : 2, so coffee (cold) = \( \frac{1}{3} \) × 45 = 15
Total coffee drinks = 60 + 15 = 75
Check: Tea hot = 15, tea cold = 30. 60 + 15 + 15 + 30 = 120. ✓
Final Answer: 75