Question

4a. Austin mixes up a paint color to paint his car. He uses 35 ounces of bluepaint, and 50 ounces of white paint. Write this as a simplified ratio of bluepaint to white paint.Your answer4b. He needs to mix more paint to do a few touch ups. If he uses 20 ounces of white paint, how much blue paint should he add?

Answer 1

(a) The ratio of blue plaint to white paint is

$\frac{35}{50}$

Then, we simplify

$\frac{7}{10}$

Therefore, the simplified ratio is 7/10.

(b) To find the amount of blue paint he should add, we use the simplified ratio.

$\frac{7}{10}=\frac{x}{20}$

Then, we solve for x

$\begin{gathered} x=\frac{7\cdot20}{10} \\ x=14 \end{gathered}$

Therefore, he has to add 14 ounces of blue paint.