Question

Bri opened a lemonade stand on her street. It costs her $11.00 to buy the supplies each day, and she sells lemonade for $2.00 a cup. If she wants to make at least $75.00 in profits (sales − expenses) each day, what is the minimum number of cups of lemonade Bri needs to sell?

Answer 1

A minimum of 43 cups of lemonade.

Explanation:

We can deduce the following from the question.

Cost of suplies each day=$11.00

The profit she wants to make each day=$75.00

The selling price of a a cup of lemonade=$2.00

Knowing the cost and the profit we can now find the sales she has to make each day. This implies that

`profit = sales - expenses`

`\implies75 = sales - 11`

we add 11 to both sides

`\implies75 + 11 = sales - 11 + 11`

Hence sales =$86.00

Also, it is stated that a cup lemonade is sales at $2.00

Hence to find the number of cups lemonade she has to sell a day, we divide 86 by 2

`\implies (86)/(2)=43`

Hence Bri has to sell a minimum of 43 cups of to make at least $75.00 profit