To find out how much yellow paint Nate needs, we can first determine the total parts in the ratio of blue to yellow, which is 1:3.
Total parts = 1 (blue) + 3 (yellow) = 4 parts.
Since Nate needs 8 gallons of paint in total, we can calculate the amount of each part as follows:
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Amount of each part = Total gallons / Total parts Amount of each part = 8 gallons / 4 parts = 2 gallons per part.
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Now, we can find the amount of yellow paint needed: Since there are 3 parts of yellow, we calculate: Amount of yellow paint = 3 parts * 2 gallons/part = 6 gallons of yellow paint.
Thus, Nate needs to buy 6 gallons of yellow paint.