Question

A chemist wishes to mix a solution that is 12​% acid. She has on hand 8 liters of a 4​% acid solution and wishes to add some 16​% acid solution to obtain the desired 12​% acid solution. How much ​16% acid solution should she​ add?

Answer 1

16 liters of 16% acid solution was added to 8 liters of a 4​% acid solution to make the desired 12% acid solution.

Equation

Equation is an expression used to show the relationship between two or more numbers and variables.

Let x represent the amount of 16% acid solution in liters, hence:

8 * 4% + x * 16% = 12% * (x + 8)

0.04 * 8 + 0.16 * x = 0.12 * (x + 8)

0.32 + 0.16x = 0.12x + 0.96

0.04x = 0.64

x = 16

16 liters of 16% acid solution was added to 8 liters of a 4​% acid solution to make the desired 12% acid solution.

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