Question

A club decides to sell t-shirts for $15 as a fundraiser. It cost $20 plus $9 per t-shirt to make the t-shirts. Write and solve an equation to find how many t-shirts the club needs to make and sell in order to profit at least $152?

A. 15x - (9x+20) greater than or equal to 150; x greater than or equal to 28.33
B. 15x-9x + 20 greater than or equal to 150; x greater than or equal to 20
C. (8x+20) -15x greater than or equal to 150; x greater than or equal to 20
D. 15x -9 (x+20) greater than or equal to 150;x greater than or equal to 20

Answer 1

The general equation for profit is written below:

Profit = Revenue - Total Cost
Revenue is the total sales you get while total cost includes the capital and other variable costs.

Letting x be the number of t-shirts, the revenue would be 15x, while the total cost is (20 + 9x). So, the profit equation becomes:

150 ≤ 15x - (20 +9x)

The ≤ symbol means that the right side of the equation must be equal or greater than 150 so that you can reach your goal profit.
Solving for x,

150 + 20 ≤ 15x - 9x
x ≥ 28.33
Hence, the answer is A.