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in the lab, Amanda has two solutions that contain alcohol and is mixing them with each other. She uses 4 times as much Solution A
as Solution B. Solution A is 17% alcohol and Solution B 14% is alcohol. How many milliliters of Solution B does she use,
if the resulting mixture has 574 milliliters of pure alcohol?
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Let x be milliliters of solution B.
Then milliliters of solution A is 4x.
With the solution B, 0.14x milliliters of the pure alcohol go to the final mixture.
With the solution A, 0.17*(4x) milliliters of the pure alcohol go to the final mixture.
The total pure alcohol equation for the final mixture is
0.14x + 0.17*(4x) = 574 milliliters of the pure alcohol.
From this equation
x = = 700.
ANSWER. 700 milliliters of the solution A.
Solved.