Question
A milkman mixed equal quantities of two mixtures,
‘A’ and ‘B’. In mixture ‘A’, the milk-to-water ratio is 5:2, while in mixture ‘B’, it is 4:1. After mixing both, he added 20 liters of water to the final mixture. If mixture ‘A’ originally contained 35 liters, what is the final ratio of milk to water?Solution
Quantity of milk in mixture ‘A’ = 35 × 5/7 = 25 litres
Quantity of water in mixture ‘A’ = 35 – 25 = 10 litres
Quantity of milk in mixture ‘B’ = 35 × 4/5 = 28 litres
Quantity of water in mixture ‘B’ = 35 – 28 = 7 litres
Quantity of milk in resultant mixture = 25 + 28 = 53 litres
Quantity of water in resultant mixture = 10 + 7 = 17 litres
Ratio of milk to water in final mixture = 53:(17 + 20) = 53:37
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