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.(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 using a pair of linear equations, we can define our variables as follows:

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

From the problem description, we have two key pieces of information:

1. The total number of items sold is 200.
2. The total profit from selling the pizza and soda is $550.

We can translate this information into the following equations:

1. For the total number of items sold, we can write: \[ p + s = 200 \]

2. For the total profit, we know that each slice of pizza sold provides a profit of $3 and each can of soda sold provides a profit of $2. Therefore, we can express the total profit as: \[ 3p + 2s = 550 \]

So, the system of equations representing this situation is:

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