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. $3p+2s=550$