Question

Olivia and Kalina are running a lemonade stand for one weekend. They sell lemonade for $0.75 per cup. On Saturday, they sell 37 cups. For the weekend, they want to make at least $45 in sales on lemonade. Let’s see be the number of cups they sell Sunday.

(a) If they sell 12 cups on Sunday will they reach their goal? Show how you found your answer.

(b) If they sell 25 cups on Sunday will they reach their goal? Show how you found your answer

(c) Set up and solve an inequality to find all possible values of c that will allow Olivia and Kalina to reach their goal.

Answer 1

a) no

b) yes

c) 0.75(37 + c) ≥ 45

Explanation:

lemonade = $0.75 per cup

Saturday sales = 37 cups

Let c = number of cups sold on Sunday

⇒ Total weekend sales = 0.75(37 + c)

a) No, they will not reach their goal of making at least $45

If c = 12:

Total weekend sales = 0.75(37 + 12)= 0.75 x 49 = $36.75

$36.75 < $45

b) Yes, they will reach their goal of making at least $45

If c = 25:

Total weekend sales = 0.75(37 + 25)= 0.75 x 62 = $46.50

$46.50 > $45

c)

0.75(37 + c) ≥ 45