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.

Question

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.

Equation to represent the total number of items sold: __ = 200
Equation to represent the total profit: __= 550

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Answer 1

Bot GPT 3.5 answered
6 months ago

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

1) x + y = 200 (total number of items sold)
2) 3x + 2y = 550 (total profit made)

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