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?
The ratio of blue to yellow paint is 1:3, which means for every 1 gallon of blue paint, there are 3 gallons of yellow paint.
Since the total ratio is 1:3, there is a total of 1 + 3 = <<1+3=4>>4 parts.
To find out how much yellow paint Nate needs, divide the total amount of paint needed by the number of parts: 8 gallons / 4 parts = <<8/4=2>>2 gallons of yellow paint. Answer: \boxed{2}.
To find out how much yellow paint Nate needs to buy, we need to determine the ratio of yellow paint to the total amount of paint.
The ratio of blue paint to yellow paint is given as 1:3. This means that for every 1 part of blue paint, Nate needs 3 parts of yellow paint.
Since the total amount of paint needed is 8 gallons, we can set up a proportion to solve for the amount of yellow paint:
1 part of blue paint / 3 parts of yellow paint = 8 gallons of total paint / amount of yellow paint
Cross-multiplying the proportion, we have:
1 * amount of yellow paint = 3 * 8
Simplifying, we get:
amount of yellow paint = 24
Therefore, Nate needs to buy 24 gallons of yellow paint for his basement redesign.
To find out how much yellow paint Nate needs to buy, we'll first determine the ratio of blue to yellow paint. In this case, the ratio is 1:3, meaning for every 1 part of blue paint, Nate needs 3 parts of yellow paint.
Since Nate wants to combine blue and yellow paint to get the desired shade of green, the total ratio of blue and yellow paint is 1+3 = 4 parts.
Next, we need to find out how much of this total ratio corresponds to 8 gallons of paint. To do this, we divide the total ratio (4 parts) by the total amount of paint needed (8 gallons), giving us 4/8 = 0.5 gallons per part.
Finally, we multiply the amount of yellow paint per part (0.5 gallons) by the number of parts of yellow paint needed (3 parts) to find the total amount of yellow paint Nate needs to buy, which is 0.5 * 3 = 1.5 gallons.
Therefore, Nate needs to buy 1.5 gallons of yellow paint.