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?

0.10x + 0.15(50 – x) = 50 + 0.12
0.10x + 0.15(50 – x) = 0.12(50)
0.10x + 0.15(50 – x) = 50 + 0.12 + 0.12(50)
(0.10x)(0.15)(50 – x) = 0.12(50)

1. thanhha
Based on the solution that Bruce wants to make, the equation that would show how much 10% solution he should use is 0.10x + 0.15(50 – x) = 0.12(50).

### How much 10% solution should he use?

As the quantity of the 10% alcohol solution that should be used is the focus, the first term in the equation should be:
= 10%x
x here is assumed to be the quantity of the solution that he should use.
After this quantity of x is used, the remaining quantity should come from the 15% solution:
= 15%(50 – x)
All these have to add up to a 12% concentration of a 50 ml solution:
= 12% x 50
Putting this all together gives:
0.10x + 0.15(50 – x) = 0.12(50)
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