Answer: The amount of red paint required =12.5 gallon
The amount of blue paint required =7.5 gallon
Step-by-step explanation:
Given : To mix a particular shade of purple paint red paint and blue paint are mixed in the ratio 5 : 3.
Let 5x be the amount of red paint and 3x be the amount of blue paint.
To make 20 gallons of this shade of purple paint, we have

Now, the amount of red paint required = 5(2.5)=12.5 gallon
The amount of blue paint required = 3(2.5)=7.5 gallon