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. The equation 0.10x + 0.15(50 – x) = 0.12(50) can be used to find the amount of 10% alcohol solution Bruce should use.

How much of the 10% alcohol solution should Bruce use

Answer 1

30 mL

Explanation:

You are being asked to solve the given equation for the value of x.

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0.10x +0.15(50 -x) = 0.12(50) . . . . given

-0.05x = -0.03(50) . . . . . subtract 0.15(50), combine terms

x = 30 . . . . . . . . . . . divide by -0.05

Bruce should use 30 mL of the 10% alcohol solution.