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.
Let's first define our variables:
p = number of slices of pizza
s = number of cans of soda
We know that they sold 200 items, so we can write our first equation as:
p + s = 200
We also know that they made a profit of $550, with each slice of pizza sold at a profit of $3 and each can of soda sold at a profit of $2. So we can write our second equation as:
3p + 2s = 550
Thus, the pair of linear equations that model this situation are:
p + s = 200
3p + 2s = 550