SOLUTION: what quantity of x of 65% acid solution must be mixed with a 20% solution to produce 300ml of 45%

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Question 339279: what quantity of x of 65% acid solution must be mixed with a 20% solution to produce 300ml of 45%
Answer by Fombitz(32388) About Me  (Show Source):
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Let x be the amount of 65% solution.
Let y be the amount of 20% solution.
1.x%2By=300
.
.
.
65x%2B20y=45%28300%29
65x%2B20y=13500
2.13x%2B4y=2700
From eq. 1,
y=300-x
Substitute into eq. 2,
13x%2B4%28300-x%29=2700
13x%2B1200-4x=2700
9x=1500
highlight%28x=500%2F3%29
From eq. 1,
y=900%2F3-500%2F3
highlight%28y=400%2F3%29