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.

Answer 1

Let x be the number of slices of pizza sold and y be the number of cans of soda sold.

The profit from selling slices of pizza is $3 times the number of slices sold: 3x
The profit from selling cans of soda is $2 times the number of cans sold: 2y

We know that the total number of items sold is 200, so:
x + y = 200

We also know that the total profit made is $550, so:
3x + 2y = 550

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