The student council at Kensington High School is making T-shirts to sell for a fundraiser, at a price of $12 apiece. The costs, meanwhile, are $6 per shirt, plus a setup fee of $150. Selling a certain number of shirts will allow the student council to cover their costs. How many shirts must be sold?

Question

Mathematics

Deacon Hubbard

7 July, 14:15

The student council at Kensington High School is making T-shirts to sell for a fundraiser, at a price of $12 apiece. The costs, meanwhile, are $6 per shirt, plus a setup fee of $150. Selling a certain number of shirts will allow the student council to cover their costs. How many shirts must be sold?

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Answers (1)

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Bailee Duke · Answer 1

it will take 25 shirts until the council can cover their cost.

Step-by-step explanation:

This is the equation we will use:

0 = 6x - 150

0 means that they did not earn anything but at the same time they covered their cost. $6 is the money they earn because since each shirt cost $6 to produce and they sell it for $12, they only earn $6. - 150 is the setup fee it's negative because they still need to cover money.

0 - 6x = - 150

-6x = - 150

x = 25