Question

Solve the problem by writing an inequality. A club decides to sell T-shirts for $12 as a fund-raiser. It costs $20 plus $8 per T-shirt to make the T-shirts. Write and solve an equation to find how many T-shirts the club needs to make and sell in order to profit at least $100. Show your work.

Answer 1

Explanation:

Each shirt = $12

Money made = 12x

The cost per shirt to make = 20 + 8x

Need at least = $100

Amount made - cost = profit 12x - (20-8x) ≥ 100

12x-20-8x = 100

4x-20 = 100

+20 +20

4x /4= 120/ 4

x = 30 —> x ≥ 30

Answer 2

In order to make a profit of $100, the fundraiser has to make and sell at least 30 t-shirts. (8 * 30) + 20 = 260. 12 * 30 = 360. 360 - 260 = 100.