Question

Problem situation:

Bernie spends $6.50
on ingredients and cups for his lemonade stand.
He charges $1.50
for each cup of lemonade.
He will only sell whole cups of lemonade (not 0.75
cups, 1.5
cups, etc.).
How many cups, x
, will Bernie need to sell to make a profit of at least $20
?

Inequality that represents this situation:
20≤1.50x−6.50

Answer 1

at least 18 cups

Explanation:

Expenses: $6.50

Income: $1.50 per lemonade.

For x lemonades sold, the income is 1.5x.

profit = income - expenses

profit = 1.5x - 6.5

He wants the profit to be equal to or greater than $20.

1.5x - 6.5 ≥ 20

Add 6.5 to both sides.

1.5x ≥ 26.5

Divide both sides by 1.5

x ≥ 26.5/1.5

x ≥ 17.666...

Since he only sells full cups of lemonade, he needs to sell at least 18 cups.