SOLUTION: In the mixture of 126 kg of milk and water, milk and water are in the ratio 5:2 how much water must be added to the mixture to make this ratio 3:2. My solution Let X be the milk

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Question 1086422: In the mixture of 126 kg of milk and water, milk and water are in the ratio 5:2 how much water must be added to the mixture to make this ratio 3:2.
My solution
Let X be the milk and Y be the water
x+y=126
x/y=5/2
y=2x/5
X+2x/5=126
7x=126*5
x=90
y=36
let water in this mixture be 3y
we have milk means y= 90
Water=90*3=270
Extra water added=270-36=234
answer is wrong please tell me where I have done the mistake

Answer by ikleyn(52780) About Me  (Show Source):
You can put this solution on YOUR website!
.
In the mixture of 126 kg of milk and water, milk and water are in the ratio 5:2 how much water must be added to the mixture to make this ratio 3:2.
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I will not follow your solution and will develop my own solution instead.

In the original mass of 126 kg of the mixture there are 7 (= 5 + 2) equal parts (masses).

Hence, the milk  contents is 5%2A%28126%2F7%29 = 5*18 = 90 kg,
       and water contents is 2%2A%28126%2F7%29 = 2*18 = 36 kg.


OK.


Next, the final mixture, having 90 kg of milk, must contain %2890%2F3%29%2A2%29 = 30*2 = 60 kg ow water to provide the ratio milk%2Fwater = 3%2F2.


Hence,  60 - 36 = 24 kg of water must be added to the original mixture to satisfy the problem requirements.

Answer. 24 kg of water must be added to the original mixture.


Solved.