SOLUTION: A vat contain 4000L of wine with an alcohol content of 10% How much of this wine must be removed so that when it is replaced with wine with 17% alcohol content the alcohol content

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Question 1092944: A vat contain 4000L of wine with an alcohol content of 10% How much of this wine must be removed so that when it is replaced with wine with 17% alcohol content the alcohol content in the final mixture will be 12%
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
v, volume to remove and replace, in liters

%2810%2A4000-10v%2B17v%29%2F4000=12
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10%2A4000%2B7v=12%2A4000
7v=12%2A4000-10%2A4000
7v=2%2A4000=8000
v=8000%2F7
highlight%28v=1143%29

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check
0.10%2A4000-0.10%2A1143%2B0.17%2A1143%29%2F4000
%28400-0.07%2A1143%29%2F4000
12.00025,goodapproximation