How many ounces of a 17% alcohol solution and a 39% alcohol solution must be combined to obtain 44 ounces of a 27% solution?

Answer 1

Let x = number of oz of 17% solution

Then, 44 - x = number of oz of 39% solution

0.17x + 0.39(44 - x) = 0.27(44)

0.17x + 17.16 - 0.39x = 11.88

-0.22x = -5.28

x = 24 oz

Use 24 oz of 17% solution and 20 oz of 39% solution.