Question

The Oakland Tigers are having team shirts made. One option is to pay Susan's Tees a $34 setup fee and then buy the shirts for $10 each. Another option is to go to City Printing, paying $23 for a setup fee and an additional $11 per shirt. The team parent in charge of the project notices that, with a certain number of shirts, the two options have the same cost. What is the cost? How many shirts is that?

Answer 1

To find the cost of the shirts, we need to set up a system of equations. Let x be the number of shirts.

Option 1: 34 + 10x = Option 2: 23 + 11x

We can solve this system of equations by subtracting the equations:

34 + 10x - 23 - 11x = 0

11x - 23 = 0

11x = 23

x = 23 / 11

Therefore, the cost is the same when the team orders 23/11 = 2 shirts.