Question

Orly uses 3 cups of raisins for every 10 cups of trail mix she makes. How many cups of trail mix will she make if she use 12 cups of rasins?a) 10b) 3 3/5c) 40d) 2 1/2

Answer 1

`c)40`

Step-by-step explanation

Orly uses 3 cups of raisins for every 10 cups of trail mix she makes.

To find the number of cups of trail mix that she can make, we have to apply proportion.

Let the number of cups of trail mix that can be made be x.

Therefore, we have that:

`\begin{gathered} 3\text{ cups of raisins = 10 cups of trail mix} \\ 12\text{ cups of raisins = x cups of trail mix} \end{gathered}`

Cross-multiply:

`\begin{gathered} 3\cdot x=12\cdot110 \\ \Rightarrow x=(12\cdot10)/(3) \\ x=40 \end{gathered}`

Therefore, she will make 40 cups of trail mix.