Question

The Math Club sold slices of pizza, p 𝑝 , at a profit of $3 each and cans of soda, s 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 for the Math Club's fundraising with slices of pizza and cans of soda, we can define the following:

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

From the information given, we can set up 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 pizza is \( 3p \) (since each slice sold brings a profit of $3).
   • The profit from soda is \( 2s \) (since each can sold brings a profit of $2). Hence, the total profit equation is: \[ 3p + 2s = 550 \]

In summary, the pair of linear equations that model this situation are:

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