Some students want to order shirts for their school. One company charges $9.65 per shirt plus a set up fee of $43 dollars. Another company charges $8.40 plus a 58 dollar fee. For what number of shirts would the cost be the same?

Answer: the costs would be the same when 12 shirts are ordered.

Step-by-step explanation:

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

One company charges $9.65 per shirt plus a set up fee of $43 dollars. This means that the total cost of ordering x shirts from the first company is

9.65x + 43

Another company charges $8.40 plus a 58 dollar fee. This means that the total cost of ordering x shirts from the second company is

8.4x + 58

Therefore, for the costs to be the same,

9.65x + 43 = 8.4x + 58

9.65x - 8.4x = 58 - 43

1.25x = 15

x = 15/1.25

x = 12