Write a system of equations to describe the situation below, solve using any method, and fill in the blanks.

The student council at Princeton High School is making T-shirts to sell for a fundraiser, at a price of $11 apiece. The costs, meanwhile, are $9 per shirt, plus a setup fee of $140. Selling a certain number of shirts will allow the student council to cover their costs. How many shirts must be sold? What will the costs be?

Selling shirts will cover the $ in costs.

Question

Mathematics

Oliver

29 April, 10:50

Write a system of equations to describe the situation below, solve using any method, and fill in the blanks.

The student council at Princeton High School is making T-shirts to sell for a fundraiser, at a price of $11 apiece. The costs, meanwhile, are $9 per shirt, plus a setup fee of $140. Selling a certain number of shirts will allow the student council to cover their costs. How many shirts must be sold? What will the costs be?

Selling shirts will cover the $ in costs.

+3

Answers (1)

Know the Answer?

Pierce Bullock · Answer 1

70 number of t-shirt to be sold.

The total cost will be $770.

Step-by-step explanation:

The student council will sell a certain number of shirts to cover their costs.

Now, let us assume the number of t-shirts to be made is x and sold to cover the cost.

So, Total cost (C) = 140 + 9x

And, Total revenue (R) = 11x

Hence, from the conditions given, C = R

⇒ 140 + 9x = 11x

⇒ 2x = 140

⇒ x = 70

So, 70 number of t-shirt to be sold.

The total cost will be $ (140 + 9 * 70) = $770. (Answer)