To model this situation with a pair of 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.
We have two key pieces of information:
-
The total number of items (pizza slices and soda cans) sold is 200. This gives us our first equation: \[ p + s = 200 \]
-
The profit made from selling the pizza slices and soda cans is $550. The profit from each slice of pizza is $3, and the profit from each can of soda is $2. This gives us our second equation: \[ 3p + 2s = 550 \]
Now we have the following pair of linear equations that model the situation:
- \( p + s = 200 \)
- \( 3p + 2s = 550 \)