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. what is the pair of linear equations that model this situation.

Answer 1

Let's start by defining our variables:
p = number of slices of pizza sold
s = number of cans of soda sold

We know that the Math Club sold a total of 200 items, so we can write one equation:

p + s = 200

We also know that the profit from selling each slice of pizza is $3, and the profit from selling each can of soda is $2. If we multiply the number of slices of pizza sold (p) by 3, and add that to the profit from the cans of soda sold (s x 2), we get the total profit:

3p + 2s = 550

Therefore, the pair of linear equations that model this situation are:

p + s = 200
3p + 2s = 550