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? Responses 4 gallons 4 gallons - no response given 24 gallons 24 gallons - no response given 2 gallons 2 gallons - no response given 6 gallons

Answer 1

To find out how much yellow paint Nate needs to buy, we first need to understand the ratio of blue to yellow paint, which is 1:3. This means for every 1 part of blue, there are 3 parts of yellow.

The total parts in the ratio are: 1 (blue) + 3 (yellow) = 4 parts.

Since Nate needs a total of 8 gallons of paint, we can determine how much each part represents by dividing the total amount of paint by the total number of parts: 8 gallons ÷ 4 parts = 2 gallons per part.

Now, to calculate the amount of yellow paint: Yellow paint = 3 parts × 2 gallons per part = 6 gallons.

Therefore, Nate needs to buy 6 gallons of yellow paint.