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.
Let p represent the number of slices of pizza sold, and s represent the number of cans of soda sold.
The profit from selling each slice of pizza is $3, so the profit from selling p slices of pizza is 3p.
The profit from selling each can of soda is $2, so the profit from selling s cans of soda is 2s.
The total profit from selling both slices of pizza and cans of soda is $550.
Therefore, the first equation can be written as:
3p + 2s = 550
The Math Club sold a total of 200 items. This means that the total number of slices of pizza and cans of soda sold is 200.
Therefore, the second equation can be written as:
p + s = 200
So, the pair of linear equations that model this situation are:
3p + 2s = 550
p + s = 200