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

Answer 1

To find out how much yellow paint Nate needs to buy, we can start by determining the total parts in the ratio of blue to yellow, which is 1:3.

1. Calculate the total parts: \[ 1 \text{ (blue)} + 3 \text{ (yellow)} = 4 \text{ (total parts)} \]

2. Determine the amount of paint per part: If Nate needs 8 gallons of paint total, each part of the ratio represents: \[ \frac{8 \text{ gallons}}{4 \text{ parts}} = 2 \text{ gallons per part} \]

3. Calculate the amount of yellow paint: Since yellow paint is 3 parts, the total amount of yellow paint needed is: \[ 3 \text{ parts} \times 2 \text{ gallons per part} = 6 \text{ gallons} \]

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