Answer:
The paint mixer should use 3 1/3 gallons of 15% gloss paint and 1 2/3 gallons of 30% gloss paint.
Step-by-step explanation:
To make a paint of 20% gallon, the quantity of gloss in 5 gallons of 20% gloss.
0.2 × 5 = 1 gallon.
To get 1 gallon from a combination of 15% gallon and 30% gallon.
Let x rep the volume of 15% gallon.
The volume of 30% gallon can be given as;
5-x.
And we can interpret to form the equation below.
0.15x + 0.3(5-x) = 1
0.15x+1.5-0.3x = 1
-0.15x = 1-1.5 = -0.5
x = -0.5/-0.15
x = 10/3 = 3 1/3
5-x = 5-10/3 = 5/3 = 1 2/3
Therefore, the gallons of 15% = 3 1/3
And the gallons of 30% = 1 2/3
