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. (2 points)

Question

Equation to represent the total number of items sold blank one = 200.
Equation to represent the total profit blank 2 =550

Answer 1

To model the situation with linear equations, we can define the following variables based on the problem description:

• Let \( p \) be the number of slices of pizza sold.
• Let \( s \) be the number of cans of soda sold.

From the problem, we know the following:

1. The total number of items sold (slices of pizza and cans of soda) is 200. This gives us our first equation: \[ p + s = 200 \]

2. The profit made from slices of pizza is $3 per slice and from cans of soda is $2 per can. The total profit made is $550, which gives us our second equation: \[ 3p + 2s = 550 \]

So the pair of linear equations that model this situation is:

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