A chemistry lab, you have 2 vinegars. One is 5% acetic acid, and the other one is 6% acetic acid. You want to make 200 ml of vinegar with 6% acetic acid. How many milliliters of each vinegar do you need to mix together? Model this situation wit ha system of equations and solve.

Question

Mila Baldwin

Mathematics

8 September, 07:53

A chemistry lab, you have 2 vinegars. One is 5% acetic acid, and the other one is 6% acetic acid. You want to make 200 ml of vinegar with 6% acetic acid. How many milliliters of each vinegar do you need to mix together? Model this situation wit ha system of equations and solve.

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Answers (1)

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Athena Bowman · Answer 1

0.5*x+0.6*y=0.6 (200) where x is quantity of 1st and y is 2nd vinegar.

so, 5x+6y=6 (200) = 1200

5x+6y=1200 ... (1)

x+y=200 ... (2)

(1) - 5 * (2) ⇒y=1200-1000=200, x=0

so, you just take 200 ml of second vinegar. In fact, this calculation can be skipped coz we were asked the 2nd vinegar directly in the question.