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Question
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)
Responses
2 gallons
2 gallons
24 gallons
24 gallons
4 gallons
4 gallons
6 gallons
6 gallons
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Based on the given information, Nate needs to mix blue and yellow paint in the ratio of 1:3. Since he needs a total of 8 gallons of paint, this means he needs 3 parts of yellow paint for every 1 part of blue paint.
To find the amount of yellow paint, we can set up a ratio:
Yellow paint : Blue paint = 3 : 1
Since the ratio is 3 parts yellow to 1 part blue, we can divide 8 gallons by 4 (3 parts + 1 part) to find the amount of yellow paint needed:
8 gallons / 4 = 2 gallons
Therefore, Nate needs to buy 2 gallons of yellow paint.
To find out how much yellow paint Nate needs to buy, we can use the ratio of 1:3 mentioned in the question. According to the illustration provided, there are 8 gallons of paint needed in total.
Since the ratio is 1:3, the amount of yellow paint needed will be three times that of blue paint.
So, to calculate the amount of yellow paint needed, we can multiply the amount of blue paint by 3.
Therefore, Nate needs to buy 3 times the amount of blue paint, which is 3 * 2 gallons = 6 gallons of yellow paint.
Therefore, the correct answer is 6 gallons.