Westonci.ca is the premier destination for reliable answers to your questions, provided by a community of experts. Get quick and reliable solutions to your questions from a community of experienced experts on our platform. Get quick and reliable solutions to your questions from a community of experienced experts on our platform.

In the lab, Maya has two solutions that contain alcohol and is mixing them with each other. She uses twice as much solution A as solution B, solution A is 14% alcohol and solution B is 11% alcohol. How many millimeters of solution B does she use, if the resulting mixture has 78 milliliters of pure alcohol?

Sagot :

Answer

Maya uses 200 millimeters of solution B.

Explanation

Let the amount of the first solution mixed be A

Let the amount of the second solution mixed be B

First solution is 14% alcohol

Alcohol content = 0.14A

Second solution is 11%

Alcohol content = 0.11B

She uses twice as much solution A as solution B

A = 2B

Resulting mixture = A + B

Alcohol content in resulting mixture = 0.14A + 0.11B = 78

Recall, A = 2B

0.14A + 0.11B = 78

0.14(2B) + 0.11B = 78

0.28B + 0.11B = 78

0.39B = 78

Divide both sides by 0.39

(0.39B/0.39) = (78/0.39)

B = 200 millimeters

A = 2B = 2(200) = 400 millimeters

Hope this Helps!!!

Thank you for choosing our service. We're dedicated to providing the best answers for all your questions. Visit us again. Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Westonci.ca is committed to providing accurate answers. Come back soon for more trustworthy information.