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 the trip. They sold 200 items and made a profit of $550. Write the pair of linear equations that model this situation.
Let:
p = number of slices of pizza sold
s = number of cans of soda sold
The total profit from selling pizza can be represented as:
3p
The total profit from selling soda can be represented as:
2s
We know that the total profit from selling both items is $550, so:
3p + 2s = 550
Since they sold a total of 200 items, we know that:
p + s = 200
Therefore, the pair of linear equations that model this situation are:
3p + 2s = 550
p + s = 200