Question

A softball team bought a box of sweatshirts for $240. Each sweatshirt cost $12 to print and will sell for $18. Graph a system of equations to find the number of sweatshirts the softball team needs to sell in order to break even.

Answer 1

The number of sweatshirts to sell in order to break even is 40

Explanation:

Let x be the number of sweatshirts. We are looking for break even, which means profit is 0 here.

And softball team purchased a box for 240$ and for printing it costs 12$ per shirt.

So total cost of sweatshirts = 240+12x

And selling price is 18$ per shirt.

Hence selling price for x shirts = 18x.

Now we need to graph y=18x and y=240+12x first and then look for intersection to find the break even.

From the graph attached, we can see that both lines are intersecting at x=40.

Hence number of sweatshirts to sell in order to break even is 40.