Question

The student council at Morristown High School is making T-shirts to sell for a fundraiser, at a price of $20 apiece. The costs, meanwhile, are $5 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?

Answer 1

Explanation:

Let’s use x to represent the number of shirts sold. Then the revenue is 20x.

he cost is given by adding the setup fee to the cost of each shirt multiplied by the number of shirts made. Since the number of shirts made is the same as the number of shirts sold, we can use x again. Then the cost is 150+5x.

To cover the costs, the revenue must be equal to or greater than the cost. So we have the inequality:

20x≥150+5x

To solve for x, we need to isolate it on one side of the inequality. We can do this by subtracting 5x from both sides, and then dividing both sides by 15. This gives us:

x≥10