the track team at hale high school plans to sell t-shirts to raise money for new equipment. At Ted's Tees, printing costs are $0.80 per shirt and the cost for each T-shirt is $3.75. The shop also charges $125 fee per order for the silk-screen design. In order for the track team to make a profit, the income from selling the T-shirts must be greater than the cost of making the T-shirts. How many shirts must they sell to make a profit?

Since the track team at Hale High School plans to sell T-shirts to raise money for new equipment, and at Ted's Tees, printing costs are $ 0.80 per shirt and the cost for each T-shirt is $ 3.75, and the shop also charges $ 125 fee per order for the silk-screen design, if, in order for the track team to make a profit, the income from selling the T-shirts must be greater than the cost of making the T-shirts, to determine how many shirts must they sell to make a profit, the following calculation must be performed, posing the following inequality:

The amount of profit must be divided by the fixed costs amount, in order to determine when the profits will exceed the costs.

125 + 0.80X = 3.75X
125 = 3.75X - 0.8 X
125 = 2.95X
125 / 2.95 = X
42.37 = X

125 + 0.8 x 43 = 159.4
3.75 x 43 = 161.25

Therefore, a minimum of 43 T-shirts must be sold to make a profit.

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