Question

zachs orange paint is made by mixing 3 cups of red for every 5 cups of yellow. we know that Zach brought 24 cups of red paint. how many cups of yellow paint must he get to make his orange paint mixture?

Answer 1

For the information given in the statement you have

`\frac{\text{number of cups of red paint}}{\text{ number of cups of yellow paint}}=(3)/(5)`

Then

`(3)/(5)=\frac{24\text{ cups of red paint}}{\text{ x cups of yellow paint}}`

Solving for x

`\begin{gathered} (3)/(5)=(24)/(x) \\ \text{Apply cross multiplication} \\ 3\cdot x=24\cdot5 \\ 3x=120 \\ \text{ Divide by 3 into both sides of the equation} \\ (3x)/(3)=(120)/(3) \\ x=40 \end{gathered}`

Therefore, he must get 40 cups of yellow paint to make his orange paint mixture.