The Math Club sold slices of pizza, p, at a profit of 53 each and cans of soda, s, at $2 each to raise money for a trip. They sold 200 items and made a profit of 5550. Write the pair of linear equations that model this situation. (1 point)

Question

Equation to represent the total number of items sold
Equation to represent the total profit:
= 550
= 200

Answer 1

Let's define the variables properly for the given problem:

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

From the information provided, we know:

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

2. The profit from selling pizza slices is \( 5.3p \) (since \( p \) pizzas were sold at a profit of $5.30 each), and the profit from selling soda is \( 2s \). The total profit made from both items is $5550: \[ 5.3p + 2s = 5550 \]

Thus, the pair of linear equations that model this situation is:

1. \( p + s = 200 \)
2. \( 5.3p + 2s = 5550 \)