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help me solve this problem:

A 63 liter mixture contains milk and water in a ratio of 4:5. then x liters of milk and y liters of water are added to the mixture, resulting in a milk to water ratio of 7:5. finally , 60 liters of the mixture are drained and replaced with 60 liters of water, resulting in a milk to water ratio of 7:8. what is the value of x+y ?

2 Answers 2

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Hint: $4p+5p=63\implies p=7$, so initially milk is $28$ liters and water is $35$ liters.

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    You should use a variable other than $x$ to avoid confusion with the $x, y$ variables given in the question. – 2017-01-09
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Let $z=x+y$.

The final volume is $63+z.$

Consider the volume of water before and after the last step.

$$\frac 5{12}(3+z)+60=\frac 8{15}(63+z)\\ \color{red}{z=x+y=237}$$