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Question

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.(2 points)

Equation to represent the total number of items sold:

=200

Equation to represent the total profit:

=550
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Answer 1

To model the situation described, we can set up two equations based on the information provided about the sales of pizza slices and soda cans.

Let:

• \( p \) = number of pizza slices sold
• \( s \) = number of cans of soda sold

First equation (total items sold):

The Math Club sold a total of 200 items, which can be represented as:

\[ p + s = 200 \]

Second equation (total profit):

The profit from each pizza slice is $3, and the profit from each can of soda is $2. The total profit made from selling the items is $550. This can be expressed as:

\[ 3p + 2s = 550 \]

Summary of the equations:

1. \( p + s = 200 \) (Total items sold)
2. \( 3p + 2s = 550 \) (Total profit)

These two equations represent the situation modeled by the Math Club's sales.