One company charges $9.65 per shirt plus a setup fee of $43. Another company charges $8.40 per shirt plus a $58 fee. For what number of shirts would the cost be the same?

Answer: the cost would be the same for 12 shirts.

Step-by-step explanation:

Let x represent the number of shirts for which the cost would be the same.

One company charges $9.65 per shirt plus a setup fee of $43. This means that total amount charged for x shirts would be

9.65x + 43

Another company charges $8.40 per shirt plus a $58 fee. This means that total amount charged for x shirts would be

8.4x + 58

For both costs to be the same, the number of shirts would be

9.65x + 43 = 8.4x + 58

9.65x - 8.4x = 58 - 43

1.25x = 15

x = 15/1.25 = 12