SOLUTION: How many ounces of a 20% salt solution should be mixed with a 10% salt solution to produce 45 ounces of a 14% salt solution?

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Question 180020: How many ounces of a 20% salt solution should be mixed with a 10% salt solution to produce 45 ounces of a 14% salt solution?
Answer by Mathtut(3670) About Me  (Show Source):
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How many ounces of a 20% salt solution should be mixed with a 10% salt solution to produce 45 ounces of a 14% salt solution?
:
let x and y be the amount of 20% and 10% solutions respectively
:
x+y=45..........eq 1
.2x+.1y=.14(45).eq 2
:
rewrite eq 1 to x=45-y and plug that value into eq 2
:
.2(45-y)+.1y=6.3
:
9-.2y+.1y=6.3
:
-.1y=-2.7
:
highlight%28y=27%29amount of 10% solution
:
highlight%28x=45-27=18%29amount of 20% solution