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)

Question

Equation to represent the total number of items sold: (blank) =200 (answers for this one:
p + 3
3s
p + s)

Equation to represent the total profit: (blank)=550 (answers for this one:
3p + 2s
2p + 3s
p + s)

Answer 1

To model the situation, we can use the following two equations based on the information provided:

1. The total number of items sold equation: \( p + s = 200 \)

2. The total profit equation: \( 3p + 2s = 550 \)

So, the pair of linear equations that model the situation is:

1. \( p + s = 200 \) (for the total number of items sold)
2. \( 3p + 2s = 550 \) (for the total profit)