Question

Bernie spends $6.50 on ingredients and cups for his lemonade stand. He charges $1.50 for each cup of lemonade. 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

Answer:

18 cups.

Step-by-step explanation:

We are given that Bernie spends $6.50 on ingredients and cups for his lemonade stand. He charges $1.50 for each cup of lemonade. Inequality that represents this situation: $20\leq 1.50x-6.50$.

To find number of cups x to make a profit of at least  $20 we will use our given inequality.

$20\leq 1.50x-6.50$

$20+6.50\leq 1.50x$

$26.50\leq 1.50x$

$x\geq \frac{26.50}{1.50}$

$x\geq \frac{53}{3}$

$x\geq 17.6666666$

Therefore, in order to make a profit of at least $20 Bernie need to sell 18 cups of lemonade.