Question

To make purple plum paint, the paint store mixes blue and red paint in a ration of 8:5 if a customer needs 65 gallon of paint how many gallons blue and red paint needs to go in the mix

Answer 1

To make 65 gallons of purple plum paint with a ratio of 8:5, 40 gallons of blue paint and 25 gallons of red paint are required.

Step-by-step explanation:

To calculate the amount of blue and red paint needed to make purple plum paint in a ratio of 8:5, we set up a proportion. The total amount of paint needed is 65 gallons, and the total parts of the ratio are 8 + 5 = 13 parts. To find how many gallons each color will need, we divide the total gallons by the total parts, and then multiply by the respective parts of the ratio.

First, calculate the gallons per part: 65 gallons ÷ 13 parts = 5 gallons per part. Now, for blue paint (8 parts): 5 gallons/part × 8 parts = 40 gallons. For red paint (5 parts): 5 gallons/part × 5 parts = 25 gallons.

Answer 2

Number of gallons of blue paint = 40 gallons

Number of gallons of red paint = 25 gallons

Step-by-step explanation:

We are given the ratio:

Blue paint : Red paint =

8 : 5

Sum of proportion = 8 + 5 = 13

If the customer need 65 gallons of paint,

a) Number of gallons of blue paint needed =

8/13 × 65 gallons = 40 gallons

b) Number of gallons of red paint needed =

5/13 × 65 gallons = 25 gallons

Therefore:

Number of gallons of blue paint = 40 gallons

Number of gallons of red paint = 25 gallons