Use the image to answer the question. Nate is helping to redesign his basement. He is in charge of choosing and buying the paint. He wants a specific shade of green, so he is going to combine blue and yellow paint in the ratio of 1:3 . If he needs 8 gallons of paint, how much yellow paint does he need to buy? (1 point) Responses 4 gallons 4 gallons 24 gallons 24 gallons 2 gallons 2 gallons 6 gallons

Answer 1

To find out how much yellow paint Nate needs to buy, we need to determine the ratio of blue to yellow paint.

The given ratio is 1:3, meaning for every 1 part of blue paint, Nate needs 3 parts of yellow paint.

Since he needs 8 gallons of paint in total, we can set up the equation:

1 part blue paint + 3 parts yellow paint = 8 gallons total paint

Let x represent the amount of blue paint needed. Then, the amount of yellow paint needed would be 3x.

So, the equation becomes:

x + 3x = 8

Combining like terms:

4x = 8

Dividing both sides of the equation by 4:

x = 2

So, Nate needs to buy 2 gallons of blue paint.

Since the ratio is 1:3, he will need 3 times the amount of yellow paint. Thus, Nate needs 3 * 2 = 6 gallons of yellow paint.

Therefore, Nate needs to buy 6 gallons of yellow paint.