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

120 T-Shirts

Step-by-step 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(3000)/(25) \\ x\ge120 \end{gathered}`

She must sell 120 t-shirts.