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?

Question

A 2 gallons
B 6 gallons
C 24 gallons
D 4 gallons

Answer 1

In the ratio of 1 : 3, the total ratio is 1 + 3 = 4 parts.
To find out how much yellow paint Nate needs to buy, we can set up the following proportion:

Yellow paint / Total paint = 3 / 4

Let's represent the unknown, the amount of yellow paint Nate needs to buy, as y:

y / 8 = 3 / 4

Cross-multiplying, we get:

4y = 8 * 3

4y = 24

Dividing both sides of the equation by 4:

y = 24 / 4 = 6

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

The correct answer is B) 6 gallons.