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In the lab, Miguel has two solutions that contain alcohol and is mixing them with each other. He uses 400 milliliters less of Solution A than Solution B. Solution A is 16% alcohol and Solution B is 20% alcohol. How many milliliters of Solution B does he use, if the resulting mixture has 476 milliliters of pure alcohol

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Arshavin023

Answer:

Amount of B used = 276.6 millimeters

Step-by-step explanation:

A = A millimeters

B = A + 400 millimeters

Hence

Taking an overall balance

(0.16 x A) + (0.2)(A+400) = 476

0.16A + 0.2A + 80 = 476

A = 1100 millimeters

B = 1100 + 400 = 1500 millimeters

Hence using direct proportion

2600 --------------------476

1500 ---------------------X

X = 276.61538

Amount of B used = 276.6 millimeters

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