The math club sold slices of pizza(p) At a profit of three dollars 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 liner equations that model this equations.

Question

The equation to represent the total number of items sold _=200
Equation to represent the total profit_=550

Answer 1

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

1. 3x + 2y = total profit
2. x + y = 200

Therefore, the pair of linear equations is:
1. 3x + 2y = 550
2. x + y = 200

Answer 2

The Lakewood baseball team is selling t-shirts for a fun raiser. The shirts caused a $100 for the printing design and setup plus $10 per shirt. The team is going to sell the shirts for $15 each. How many shirts do they need to sell to break even?

Answer 3

Let x be the number of shirts sold.

The cost function (C) to produce x shirts is:
C(x) = 100 + 10x

The revenue function (R) from selling x shirts is:
R(x) = 15x

The break-even point occurs when total cost equals total revenue:
100 + 10x = 15x

Subtract 10x from both sides:
100 = 5x

Divide by 5:
x = 20

Therefore, the baseball team needs to sell 20 shirts to break even.