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The capacities of three containers P, Q and R are in the proportion of 5 : 4 : 8. They are completely filled with a mixture of milk
and water in the proportions of 1 : 4. 2 : 3 and 3 : 5, respectively. If the mixtures of all the three containers are mixed together,
then what will be the proportion of milk to water in the final mixture?
1 :2
16: 81
25 : 64
28 : 57
- First, determine total volumes for P, Q, and R. Use their proportions: 5, 4, and 8 which leads to a total of 17 parts. If total capacity is 170 liters, P is 50 liters, Q is 40 liters, and R is 80 liters.
- Calculate milk in each:
- P: 1/5 milk in 50 liters = 10 liters
- Q: 2/5 milk in 40 liters = 16 liters
- R: 3/8 milk in 80 liters = 30 liters
- Sum milk: 10 + 16 + 30 = 56 liters
- Total water: 170 - 56 = 114 liters
- Thus, the final ratio of milk to water is 56:114.
- Simplify the ratio 56:114 by dividing by 2 = 28:57.
- Correct Answer: Option 4, 28:57
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