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
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.
To determine how much yellow paint Nate needs to buy, we need to find the ratio between blue and yellow paint in the mixture. The ratio is given as 1:3, which means for every 1 part blue paint, there are 3 parts yellow paint.
Since Nate needs a total of 8 gallons of paint, we can determine the amount of yellow paint needed as follows:
3 parts (yellow paint) = 8 gallons
1 part (yellow paint) = 8 gallons ÷ 3
1 part (yellow paint) ≈ 2.67 gallons
Since we cannot purchase fractional amounts of paint, Nate will need to buy approximately 3 gallons of yellow paint.
To answer this question, we need to first understand the given ratio between blue and yellow paint. The ratio is 1:3, which means for every 1 part of blue paint, there are 3 parts of yellow paint.
Since Nate needs a total of 8 gallons of paint, we can calculate the amount of yellow paint he needs by setting up a proportion using the ratio:
1 part blue paint / 3 parts yellow paint = x gallons blue paint / 8 gallons of paint
Now, cross multiply to solve for x:
1 * 8 = 3 * x
8 = 3x
Divide both sides of the equation by 3 to isolate x:
8/3 = x
Therefore, Nate needs to buy approximately 2.67 gallons of yellow paint (or rounded up to the nearest whole number, 3 gallons).
So the correct answer is 3 gallons.