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 out how much of each color is needed to make 100 cups of the shade of green paint, we need to first convert all measurements to cups.
1 1/2 quarts = 6 cups
2 cups of green paint remains the same
1/2 gallon = 8 cups
So, in total, the painter mixed 6 cups of blue paint, 2 cups of green paint, and 8 cups of white paint.
To make 100 cups of this shade of green paint, we need to keep the ratio of blue paint, green paint, and white paint the same.
The total cups of paint mixture is 6 + 2 + 8 = 16 cups.
To find the amount of each color needed for 100 cups of the shade of green paint, we need to use proportions:
Blue paint needed = (6/16) * 100 = 37.5 cups
Green paint needed = (2/16) * 100 = 12.5 cups
White paint needed = (8/16) * 100 = 50 cups
So, to make 100 cups of this shade of green paint, the painter needs 37.5 cups of blue paint, 12.5 cups of green paint, and 50 cups of white paint.