Question

Bruce wants to make 50 ml of an alcohol solution with a 12% concentration. He has a 10% alcohol solution and a

15% alcohol solution.
Which equation can Bruce use to determine how much of the 10% alcohol solution he should use?

Answer 1

20 ml of 15% alcohol and 30 ml of 10% alcohol should be used to create a 12% alcohol solution.

Explanation:

Since Bruce wants to make 50 ml of an alcohol solution with a 12% concentration, and he has a 10% alcohol solution and a 15% alcohol solution, to determine how much of the 10% alcohol solution he should make the following calculations:

0.9 x 15 + 0.1 x 10 = 14.5

0.7 x 15 + 0.3 x 10 = 13.5

0.5 x 15 + 0.5 x 10 = 12.5

0.4 x 15 + 0.6 x 10 = 12

50 x 0.4 = 20

Therefore, 20 ml of 15% alcohol and 30 ml of 10% alcohol should be used to create a 12% alcohol solution.