To model the situation with equations, we can set up two equations based on the information provided:
-
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:
\[ p + s = 200 \] -
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:
- \( p + s = 200 \)
- \( 3p + 2s = 550 \)