Question

Arielle is selling t-shirts online. She spent $500 making the shirts and plans on selling them for $25 each. How many shirts must she sell to make a profit of at least $2500?

Answer 1

Answer:

120 T-Shirts

Explanation:

Let the number of t-shirts Arielle made = x

• Cost of making x t-shirts = $500

If she is planning to sell each for $25, then:

• Total Income from x t-shirts = 25x

Profit = Income -Expenses

=25x-500

Since she plans to make a profit of at least $2500, then:

$25x-500\ge2500$

We solve the inequality for x.

$\begin{gathered} 25x\ge2500+500 \\ 25x\ge3000 \\ x\ge\frac{3000}{25} \\ x\ge120 \end{gathered}$

She must sell 120 t-shirts.