Question

a certain color paint should have a mix of blue and green in a ratio of 5 : 2. if a house painter needs to use 8 gallons of green paint, how many gallons of blue paint should he mix with it in order to obtain the right color? question 6 options:

Explanation:

Step1: Define the ratio

Let the amount of blue paint be \( x \) gallons. The ratio of blue to green is \( 5:2 \), so we can set up the proportion \( \frac{blue}{green}=\frac{5}{2} \).

Step2: Substitute the known value

We know the green paint is 8 gallons. Substituting into the proportion, we get \( \frac{x}{8}=\frac{5}{2} \).

Step3: Solve for \( x \)

Cross - multiply: \( 2x = 5\times8 \).
Simplify the right - hand side: \( 2x=40 \).
Divide both sides by 2: \( x=\frac{40}{2}=20 \).

Answer:

20