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{(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} (1)/(2)\cdot1\text{ = 5}\cdot x \\ (1)/(2)\cdot(1)/(5)=x \\ x=(1)/(10)\text{ quart of yellow paint} \end{gathered}`

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