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 a pair of linear equations that model this situation

equation to represent the total number of items sold: _____= 200
Equation to represent the total profit: _____ = 550

Let p represent the number of slices of pizza sold and s represent the number of cans of soda sold. Since they sold 200 items in total, the equation for the total number of items sold is:

p + s = 200

Since they made a profit of $3 on each slice of pizza and $2 on each can of soda, the equation for the total profit made is:

3p + 2s = 550