The student council at Hillsdale High School is making T-shirts to sell for a fundraiser, at a price of $ 10 each. The costs, meanwhile, are $ 9 per shirt, plus a one-time setup fee of $ 79. Selling a certain number of shirts will allow the student council to cover their costs. What will the costs be? How many shirts must be sold?

Question

Ducky

Mathematics

2 November, 04:06

The student council at Hillsdale High School is making T-shirts to sell for a fundraiser, at a price of $ 10 each. The costs, meanwhile, are $ 9 per shirt, plus a one-time setup fee of $ 79. Selling a certain number of shirts will allow the student council to cover their costs. What will the costs be? How many shirts must be sold?

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Answers (1)

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Melany Shea · Answer 1

More than 79 Shirts must be sold.

Step-by-step explanation:

1) Set amount of shirts sold = x

2) Form equation to solve for x, where x > 0

10x - 9x - 79 = 0

Simplify:

1x - 79 = 0

1x = 79

x = 79

Plug this value for x back into the original equation.

10 (79) - 9 (79) - 79 = 0

790 - (790) = 0

In order to break even, the school must sell 79 shirts. If the school sells more than 79 shirts, they will begin to make a profit.