Bunuel wrote:

A paint store mixes \(\frac{3}{4}\) pint of red paint and \(\frac{2}{3}\) pint of blue paint to make a new paint color called Perfectly Purple. How many pints of red paint would be needed to make 34 pints of Perfectly Purple paint?

A. 1.42

B. 18.0

C. 36.13

D. 47.5

E. 48.12

The easiest way to solve this problem is to assume the size of a pint - Let the size be 12 units.

To make a pint of Perfectly Purple,

we will need \(\frac{3}{4}\) pint of Red paint or 9 units and \(\frac{2}{3}\) pint of Blue paint or 8 units.

We will need \(9\) units out of \(9+8 = 17\) units to be red paint to make the "Perfectly Purple" color

Therefore, to make 34 pints of Perfectly Purple color, we need \(\frac{9}{17} * 34 = 18\)

(Option B) pints of Red paint.

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