The Math Club sold slices of pizza, p

Question

, 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)
Equation to represent the total number of items sold:
= 200
Equation to represent the total profit:
= 550

Answer 1

To model the situation with equations, we can set up two equations based on the information provided:

1. Equation representing the total number of items sold:
   Since the Math Club sold \( p \) slices of pizza and \( s \) cans of soda, and the total number of items sold is 200, we can express this as:
   \[ p + s = 200 \]

2. Equation representing the total profit:
   They made a profit of $3 for each slice of pizza and $2 for each can of soda. The total profit made is $550, which can be expressed as:
   \[ 3p + 2s = 550 \]

Thus, the pair of linear equations modeling this situation is:

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