Question

Jane baked 48 cupcakes to sell at a table in a farmer's market. She paid $20.00 to rent the table. Jane plans to sell all 48 cupcakes individually and for the same price. If Jane hopes after selling all 48 cupcakes to make at least $100 in profit once she has subtracted the cost of her expenses, then what is the smallest amount she should sell each cupcake for?

Answer 1

$2.50

Step-by-step explanation:

Number of cupcakes baked by Jane = 48

• Total Expenses = $20.00

Let each cupcake be sold for $x. Therefore:

• Total Income = $48x

Profit = Total Income - Total Expenses

Since she hopes to make at least $100 in profit:

`48x-20\geqslant100`

We then go ahead to solve for x.

`\begin{gathered} 48x\geq100+20 \\ 48x\geq120 \\ \text{Divide both sides by 48} \\ (48x)/(48)\geq(120)/(48) \\ x\geq2.50 \end{gathered}`

The smallest amount she should sell each cupcake for is $2.50.