Question

ms. Delgado is painting in her new apartment. she uses 1/2 quart of yellow paint for every 9/2 quarts of blue paint. at this rate how much yellow paint does she use for every quart of paint?

Answer 1

She uses 1/2 quart of yellow paint for every 9/2 quarts of blue paint. Then, she uses 1/2 quart of yellow paint for every 1/2 + 9/2 = 10/2 = 5 quart of paint.

We can use the next proportion:

$\frac{\frac{1}{2}\text{ quart of yellow paint}}{x\text{ quart of yellow paint}}=\frac{5\text{ quart of paint}}{1\text{ quart of paint}}$

Solving for x:

$\begin{gathered} \frac{1}{2}\cdot1\text{ = 5}\cdot x \\ \frac{1}{2}\cdot\frac{1}{5}=x \\ x=\frac{1}{10}\text{ quart of yellow paint} \end{gathered}$

She uses 1/10 quart of yellow paint for every quart of paint