In the lab, Dante has two solutions that contain alcohol and is mixing them with each other. He uses

Carly Cannon

Carly Cannon

Answered question

2022-07-07

In the lab, Dante has two solutions that contain alcohol and is mixing them with each other. He uses 100 milliliters less of Solution A than Solution B. Solution A Espalo is 10% alcohol and Solution B is 15% alcohol.
How many milliliters of Solution B does he use, if the resulting mixture has 140 milliliters of pure alcohol?

Answer & Explanation

Dalton Lester

Dalton Lester

Beginner2022-07-08Added 12 answers

Let x be the number of mL if solution A (10% alcohol) = 0.1x
Let y be the number of mL if solution B (15% alcohol) = 0.15y
He uses 100 mL less of solution A than solution B
x = y 100
the resultant mixture has 140 mL of pure alcohol
0.1 x + 0.15 y = 140
Now, substitute the value of x
0.1 ( y 100 ) + 0.15 y = 140
0.1 y 10 + 0.15 y = 140
Add 10 to both sides
0.1 y + 0.15 y = 140 + 10
0.1 y + 0.15 y = 150
0.25 y = 150
Divide both sides by 0.25
y = 150 0.25
y = 600

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