Use the image to answer the 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)
24 gallons
24 gallons
4 gallons
4 gallons
2 gallons
2 gallons
6 gallons
6 gallons
Based on the illustration, the ratio of blue to yellow paint is 1:3. Therefore, if Nate needs 8 gallons of paint in total, he will need to buy 3 times the amount of yellow paint compared to blue paint. Thus, Nate needs to buy 8/4 = 2 gallons of yellow paint. Therefore, the correct answer is 2 gallons
To solve this problem, we need to determine the amount of yellow paint Nate needs to buy in order to combine it with the blue paint to get the desired shade of green.
According to the image, the ratio of blue to yellow paint is 1:3. This means that for every 1 gallon of blue paint, Nate needs 3 gallons of yellow paint.
Since Nate needs a total of 8 gallons of paint, we can set up a proportion:
Blue paint / Yellow paint = 1 / 3 = 8 / X
Cross-multiplying, we get:
X = (3 * 8) / 1
X = 24
From this calculation, it is evident that Nate needs 24 gallons of yellow paint.
Therefore, the correct answer is: 24 gallons.