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..

Question

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

Answer 1

Let's use p to represent the number of slices of pizza sold and s to represent the number of cans of soda sold.

Equation for total number of items sold:
p + s = 200

Equation for total profit:
3p + 2s = 550

Therefore, the pair of linear equations that model this situation are:
p + s = 200
3p + 2s = 550