Question

Jamal is making a snack mix that contains only pretzels and nuts. For every ounce of nuts, he will use 2 ounces of pretzels. How many ounces of pretzels and how many ounces of nuts does he need to make 45 ounces of snack mix?

Short answer

He needs 15 ounces of nuts and 30 ounces of pretzels.

Step-by-step solution

Given 

Jamal is making a snack mix that contains only pretzels and nuts. For every ounce of nuts, he will use 2 ounces of pretzels.

To determine 

How many ounces of pretzels and how many ounces of nuts does he need to make 45 ounces of snack mix?

Calculation 

Let,

He needs x ounces nuts and y ounces pretzel.

According to the question:

$$\begin{gathered} y=2x \\ x+y=45 \end{gathered}$$

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

localid="1647971533406" $$\begin{gathered} x+y=45 \\ x+2x=45 \\ 3x=45 \\ x=15 \\ 2x=2\left(15\right) \\ 2x=30 \end{gathered}$$

Hence, he needs 15 ounces of nuts and 30 ounces of pretzels.