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)

Question

Equation to represent the total number of items sold: 200

Equation to represent the total protit: 550

Answer 1

To model the situation with linear equations, we can define two variables:

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

From the problem, we have two essential conditions:

1. The total number of items sold (pizza slices and soda cans) is 200. This can be represented by the equation: \[ p + s = 200 \]

2. The total profit made from selling the pizza and soda is $550. Given that each slice of pizza has a profit of $3 and each can of soda has a profit of $2, this can be represented by the equation: \[ 3p + 2s = 550 \]

Thus, the pair of linear equations that model this situation is: \[ \begin{align*}

1. & \quad p + s = 200 \
2. & \quad 3p + 2s = 550 \end{align*} \]