Question

Diego wants to make a shade of green paint that requires 3 parts yellow and 7 parts blue. If Diego uses 49 gallons of blue paint, how many gallons of yellow paint will he need?

Answer 1

Diego will need 21 gallons of yellow paint to make the shade of green paint he desires.

Explanation:

According to the given information, Diego wants to make a shade of green paint that requires 3 parts yellow and 7 parts blue.

This means that for every 7 gallons of blue paint, Diego needs 3 gallons of yellow paint.

As Diego is using 49 gallons of blue paint, we can set up the following proportion:

7/49 = 3/x

where x is the amount of yellow paint needed.

To solve for x, we can cross-multiply and simplify:

7x = 3 * 49

7x = 147

x = 21

Therefore, Diego will need 21 gallons of yellow paint to make the shade of green paint he desires.