Question

How much blue and yellow paint should a store mix to make 98 gallons of glowing green paint if the ratio is 3:4?

A. 42 gallons of blue and 56 gallons of yellow
B. 56 gallons of blue and 42 gallons of yellow
C. 45 gallons of blue and 60 gallons of yellow
D. 60 gallons of blue and 45 gallons of yellow

Answer 1

To make 98 gallons of glowing green paint with a ratio of 3:4, you would need 73.5 gallons of blue paint and 24.5 gallons of yellow paint.

Step-by-step explanation:

To find the amounts of blue and yellow paint needed, we need to set up a proportion based on the given ratio. The ratio is 3:4, which means that for every 3 parts of blue paint, there are 4 parts of yellow paint. Since we need to produce 98 gallons of paint, we can set up the proportion:

3/4 = x/98

Cross-multiplying, we get:

4x = 3 * 98

Simplifying, we get:

4x = 294

Dividing both sides by 4, we get:

x = 73.5

Therefore, we need 73.5 gallons of blue paint and 98 - 73.5 = 24.5 gallons of yellow paint.