Question

Enrique is making a party mix that contains raisins and nuts. For each ounce of nuts, he uses twice the amount of raisins. How many ounces of nuts and how many ounces of raisins does he need to make 24 ounces of party mix?

Short answer

He needs 8 ounces of nuts and 16 ounces of raisins.

Step-by-step solution

Given

Enrique is making a party mix that contains raisins and nuts. For each ounce of nuts, he uses twice the amount of raisins.

To determine 

How many ounces of nuts and how many ounces of raisins does he need to make 24 ounces of party mix?

Calculation 

Let,

He needs x ounces of nuts and y ounces of raisins.

According to the question:

$$\begin{gathered} y=2x \\ x+y=24 \end{gathered}$$

Plug $y=2x$in the other equation.

$$\begin{gathered} x+y=24 \\ x+2x=24 \\ 3x=24 \\ x=8 \\ 2x=16 \end{gathered}$$

Hence, he needs 8 ounces of nuts and 16 ounces of raisins.