SOLUTION: how many ounces of 5% alcohol solution must be mixed with 16 ounces of 10% alcohol solution to make a 7% alcohol solution?

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Question 607053: how many ounces of 5% alcohol solution must be mixed with 16 ounces of 10% alcohol solution to make a 7% alcohol solution?
Answer by lwsshak3(11628) About Me  (Show Source):
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how many ounces of 5% alcohol solution must be mixed with 16 ounces of 10% alcohol solution to make a 7% alcohol solution?
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let x=ounces of 5% solution to be mixed
x+16=ounces of 7% final solution
5%x+10%*16=7%(x+16)
.05x+1.6=.07(x+16)
.05x+1.6=.07x+1.12
.02x=.48
x=24
ans:
ounces of 5% solution to be mixed=24