A chemistry teacher needs to mix a 20% salt solution with a 80% salt solution to make 25 qt of a 44% salt solution. How many quarts of each solution should the teacher mix to get the desired result?

Question

Mathematics

Taniya Berry

5 October, 02:11

A chemistry teacher needs to mix a 20% salt solution with a 80% salt solution to make 25 qt of a 44% salt solution. How many quarts of each solution should the teacher mix to get the desired result?

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Ziggy · Answer 1

Let there be x quarts of the 20% salt solution, and (25 - x) quarts of the 80% salt solution.

Then the total amount of salt in the 20% portion would be 0.2x, while that from the 80% portion would be (0.8) (25 - x). This would have to total up to (0.44) (25) in the final solution, so the equation is:

0.2x + 0.8 (25 - x) = (0.44) (25)

-0.6x + 20 = 11

x = 15 quarts of the 20% salt solution

25 - x = 10 quarts of the 80% salt solution