The math club sold slices of pizza, p at a profit of $2 each and a can of soda, s, at $1 each to raise money for a trip. They sold 150 items and made a profit of $450. Write the pair of linear equations that model this situation.

Answer 1

To model the situation with a pair of linear equations, we can represent the number of slices of pizza sold as \( p \) and the number of cans of soda sold as \( s \).

From the information given, we can derive two equations:

1. The total number of items sold is 150. Therefore, we can write the first equation as: \[ p + s = 150 \]

2. The profit made from selling the pizza and soda is $450. Since they made a profit of $2 per slice of pizza and $1 per can of soda, we can write the second equation as: \[ 2p + 1s = 450 \]

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

1. & \quad p + s = 150 \
2. & \quad 2p + s = 450 \end{align*} \]