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
24 gallons
24 gallons
6 gallons
6 gallons
2 gallons
2 gallons
4 gallons
To combine blue and yellow paint in a ratio of 1:3, Nate would need a total of 4 parts (1 part blue + 3 parts yellow).
Since he needs a total of 8 gallons of paint, each part would be equal to 8/4 = 2 gallons.
Therefore, Nate would need to buy 3 parts of yellow paint, which is 3 * 2 = 6 gallons of yellow paint.
So the answer is 6 gallons.
To answer this question, we can use the given information from the image.
We know that Nate needs a total of 8 gallons of paint and he wants to combine blue and yellow paint in a ratio of 1:3.
Looking at the image, we can see that the rectangle labeled as Blue represents the blue paint, and the set of three adjacent rectangles labeled as Yellow represents the yellow paint.
The bracket on the right side encompasses both sets and points to the number 8, indicating that the combined area of both the blue and yellow rectangles is equal to 8.
Since the ratio of blue to yellow paint is 1:3, this means that for every 1 gallon of blue paint, Nate will need 3 gallons of yellow paint.
To find out how much yellow paint Nate needs to buy, we can set up a proportion. Let's let x represent the amount of yellow paint in gallons.
1 gallon blue paint / 3 gallons yellow paint = 8 gallons blue paint / x gallons yellow paint
Cross-multiplying, we get:
1 * x = 3 * 8
x = 24
Therefore, Nate needs to buy 24 gallons of yellow paint.
To find out how much yellow paint Nate needs to buy, we need to understand the ratio of blue to yellow paint. The ratio given is 1:3, which means for every 1 gallon of blue paint, Nate needs 3 gallons of yellow paint.
Looking at the image, we can see that the rectangle labeled as Blue represents 1 gallon of paint. The set of three adjacent rectangles labeled as Yellow represents 3 gallons of yellow paint.
Since Nate needs a total of 8 gallons of paint, he would need 3 gallons of yellow paint.
Therefore, the answer is 3 gallons.