Question

A factory adds 3 red drops and two blue drops of coloring to white paint to make each pint of purple pint. The factory will make 60 quarts of this purple paint. How many drops of red and blue coloring will the factory need in the 60 quart batch pf purple paint ?

Answer 1

360 red drops and 240 blue drops

Explanation:

3 red (r) + 2 blue (b) = 1 pint (p)

2 pint (p) = 1 quart (q)

6r + 4b = 2p = q

60q = 60 (6r + 4b) = 360 red drops and 240 blue drops

Answer 2

Explanation:

2 US liquid pints make 1 US liquid quart.

The factory adds 3 red drops and two blue drops of coloring to white paint to make each pint of purple pint. The factory will make 60 quarts of this purple paint. Converting 60 quarts to pints,it becomes

60 × 2 = 120 pints

This means that in order to make 120 pints of purple paint, the factory would add 3 × 120 = 360 red drops and 2 × 120 = 240 blue drops of coloring to white paint.