Question

Ariel and her friends purchased some drinks and pizza slices at the snack bar. Each drink cost $2, and each pizza slice was $4. They purchased 9 items and spent a total of $28. Write a system of equations to represent this situation, using d to represent the number of drinks, and p to represent the number of pizza slices

Answer 1

`\left\{ \begin{array}{ll} 2d+4p=28 \\ d+p=9 \end{array}`

Explanation:

We are letting d represent the number of drinks and p represent the number of pizza slices.

We know that each drink d costs $2. We also know that each pizza slice p costs $4. They spent a total of $28. Therefore:

`2d+4p=28`

We also know that 9 items was purchased all together. So, the total number of drinks d and pizza slices p sum to 9:

`d+p=9`

Therefore, our system of equations is:

`\left\{ \begin{array}{ll} 2d+4p=28 \\ d+p=9 \end{array}`