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A paint store mixes 3/4 pint of red paint and 2/3 pint of white paint to make a new paint color called Perfect Pink.

By spartan

 

A paint store mixes 3 4 pint of red paint and 2 3 pint of white paint to make a new paint color called Perfect Pink. How many pints of red paint would be needed to make 34 pints of Perfect Pink paint? A. 9 B. 16 C. 18 D. 25 1 3 E. 28 1 2 Solution First, determine how much paint the recipe for Perfect Pink will make. 3 4 pint + 2 3 pint = 9 12 pint + 8 12 pint = 17 12 pints, or 1 5 12 pints. The ratio of red paint in the recipe is the same as it will be in the 34 pints of paint. Let N be the number of pints of red paint needed. 3/4 1(5/12) = N 34 3 4 (34) = 1 5 12 (N) 102 4 = 17 12 N 102 4 ÷ 17 12 = N 18 = N Thus, 18 pints of red paint are needed, and the answer is C.

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