SOLUTION: a vessel contains 56 litres of a mixtrue of milk and water in ratio 5:2. how much water should be mixed with it so that the ratio of milk to water may be 4:5?

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Question 934974: a vessel contains 56 litres of a mixtrue of milk and water in ratio 5:2. how much water should be mixed with it so that the ratio of milk to water may be 4:5?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Initially the mixture is 7 parts. The final mixture can be understood of 9 parts, although
the parts will become different size.

Concentration of milk at start is 5%2F7, and concentration of milk wanted is 4%2F9.
Simple two-part mixture problem.

Let x be how many parts milk to add to the start mixture.
highlight%28%2856%285%2F7%29%2Bx%29%2F%28x%2B56%29=4%2F9%29.
Solve for x, the liters of milk to add.