a painter mixes 1 1/ 2 quarts of blue paint, 2 cups of green paint, and 1/ 2 gallon of white paint. How much of each color is needed to make 100 cups of this shade of green paint?
To find the proportions of each color needed, we first need to convert all the measurements to the same unit.
1 1/2 quarts = 6 cups
1/2 gallon = 8 cups
So, the total amount of paint in cups is:
6 cups (blue) + 2 cups (green) + 8 cups (white) = 16 cups
To find the proportion of green paint needed to make 100 cups of this shade, we can set up a ratio:
2 cups (green) / 16 cups = x cups / 100 cups
2/16 = x/100
Solving for x, we get:
x = 100 * 2 / 16
x = 100/8
x = 12.5 cups
So, the painter needs 12.5 cups of green paint, 37.5 cups of blue paint, and 50 cups of white paint to make 100 cups of this shade of green paint.