Question

The Math Club sold slices of pizza, p , at a profit of $3 each and cans of soda, s , at $2 each to raise money for a trip. They sold 200 items and made a profit of $550. Write the pair of linear equations that model this situation.(1 point) Equation to represent the total number of items sold: __ = 200 Equation to represent the total profit: __ = 550

Answer 1

To model the situation with a pair of linear equations, we can define:

- \( p \): the number of pizza slices sold
- \( s \): the number of cans of soda sold

Given the information, we can write two equations:

1. **Equation to represent the total number of items sold**:
\[
p + s = 200
\]

2. **Equation to represent the total profit**:
The profit from the pizza slices is \( 3p \) (since they made $3 profit from each slice) and the profit from the cans of soda is \( 2s \) (since they made $2 profit from each soda). Therefore, the profit equation is:
\[
3p + 2s = 550
\]

So the pair of linear equations is:

1. \( p + s = 200 \)
2. \( 3p + 2s = 550 \)