Question

Rosella spent $12.25 on supplies to make lemonade. At least how many glasses of lemonade must she sell at $0.55 per glass to make a profit?

Answer 1

23 glasses

Explanation:

Cost per glass = Total cost / Number of glasses

Cost per glass = $12.25 / Number of glasses

Now, we need to set up an inequality that expresses the condition that the revenue generated per glass is greater than the cost per glass:

Revenue per glass ≥ Cost per glass

The revenue per glass is $0.55, and the cost per glass is $12.25 divided by the number of glasses, so we can write:

$0.55 ≥ $12.25 / Number of glasses

We can solve this inequality for the minimum number of glasses needed to make a profit:

$0.55 · Number of glasses ≥ $12.25

Number of glasses ≥ $12.25 / $0.55

Number of glasses ≥ 22.27

So, she need to sell 23 glasses to make a profit.