Use the image to answer the question.

Question

An illustration shows a rectangle labeled as Blue. Another set of three adjacent rectangles is labeled as Yellow and is placed below Blue. All rectangles have the same dimensions. A bracket on the right side encompasses both sets and points to the number 8.

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
6 gallons
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Answer 1

The answer is 6 gallons. Since the ratio of blue to yellow paint is 1:3, and Nate needs a total of 8 gallons of paint, we can set up the equation:

1x + 3x = 8

Combining like terms, we get:

4x = 8

Dividing both sides by 4, we find:

x = 2

Therefore, Nate needs to buy 3 times the amount of yellow paint, which is 3 * 2 = 6 gallons.