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find x and y?

how many gallons y of a 50% solution must be mixed with x gallons of a 20% salt solution  to produce 10 gallons of a 38% salt solution.  set up with two equations
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1 Answer

y = gallons of a 50% solution
x = gallons of a 20% solution
equation 1
10 gallons are produced between the two solutions, which means you need to start with a total of 10 gallons.
equation 2
.5y + .2x = .38(10)


My last few sentences didn't appear on my answer......

equation 2

.5y + .2x = .38(10)

This equation is finding the correct ratio of the two solutions which must be used.
Let me know if you have an issues finishing the problem.