A certain brand of house paint must be purchased either in quarts at $12 each or in gallons at $18 each. A painter needs a 3-gallon mixture of the paint consisting of 3 parts blue and 2 parts white. What is the least amount of money needed to purchase sufficient quantities of the two colors to make the mixture?
There are 4 quarts in a gallon.
You need 3 gallons, which is 12 quarts.
Three-fifths of this must be blue and two-fifths of this must be white.
(3/5) x (12 qts) = 7.2 quarts (which is almost 2 gallons)
(2/5) x (12 qts) = 4.8 quarts (which is one gallon plus one quart).
Using these numbers, you can calculate the price.