Heather opened a lemonade stand on her street it costs her $5.25 to but the supplies each day and she sells her lemonade for $1.50 a cup if she wants to make at least $100 in profits (sales-expenses) each day what is the minimum number of cups of lemonade heather needs to sell?
Let x be the number of cups of lemonade Heather needs to sell to make at least $100 in profits each day.
Her expenses each day are $5.25, so her total costs for x cups of lemonade would be 5.25.
Her total revenue from selling x cups of lemonade would be 1.50x.
In order to make at least $100 in profits, her sales must exceed her expenses by $100. Therefore, we can set up the following equation:
1.50x - 5.25 = 100
Solving for x:
1.50x = 105.25
x = 105.25 / 1.50
x = 70.167
Since Heather cannot sell a fraction of a cup of lemonade, she must sell at least 71 cups of lemonade in order to make at least $100 in profits each day.