Question 417344
researcher orders a solution of 32.5% glucose for her lab. However, she needs a stronger solution, one that is 46% glucose. Fortunately, she has 15.6 liters of 91.9% glucose solution in the stock room. Assuming there is an adequate supply of the 32.5% solution, how many liters of 46% solution can be made by mixing the two together?

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let x=liters of 32.5% solution to be used
x+15.6=liters of 46% solution that can be made
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32.5%(x)+91.9%(15.6)=46%(x+15.6)
.325x+14.34=.46x+7.18
-.135x=-7.16
x=53.04 liters of 32.5% solution used in mixture
53.04+15.6=68.64
ans: 
68.64 liters of 46% solution can be made