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?

Let x be the milliliters of 10% solution. Then 50 − x is the amount of 15% solution. The total amount of pure alcohol is 0.10x + 0.15(50 − x), and a 50 ml solution at 12% contains 0.12(50) ml of alcohol. Setting these equal gives 0.10x + 0.15(50 − x) = 0.12(50), choice B.

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