Question

How many ounces of a 15% alcohol solution must be mixed with 8 ounces of a 20% alcohol solution to make a 17% alcohol solution?

ounces.
The amount of 15% alcohol solution is

Answer 1

Explanation:

x = ounces of 20% solution

15% = 0.15

20% = 0.2

17% = 0.17

x × 0.15 + 8×0.2 = (8 + x)×0.17

x×0.15 + 8×0.2 = 8×0.17 + x×0.17

8×0.2 = 8×0.17 + x×0.02

8×0.03 = x×0.02

x = 8×0.03/0.02 = 12 ounces

we need to mix the 8 ounces of 20% with 12 ounces of 15% to get 17% alcohol (8 + 12 = 20 ounces of it).