Question

dessert an ice cream shop sells a small bowl of ice cream for $2.25 and a large bowl for $3. one day, the shop sold 63 bowls of ice cream and made $159. how many of each size bowl did the shop sell?
a) 23 small bowls and 40 large bowls
b) 30 small bowls and 33 large bowls
c) 35 small bowls and 28 large bowls
d) 40 small bowls and 23 large bowls

Explanation:

Step1: Check total bowls for each option

For option A: \(23 + 40 = 63\) (matches total bowls).
For option B: \(30 + 33 = 63\) (matches total bowls).
For option C: \(35 + 28 = 63\) (matches total bowls).
For option D: \(40 + 23 = 63\) (matches total bowls).

Step2: Calculate total revenue for each option

• Option A: \(23\times2.25 + 40\times3 = 51.75 + 120 = 171.75\) (not equal to 159).
• Option B: \(30\times2.25 + 33\times3 = 67.5 + 99 = 166.5\) (not equal to 159).
• Option C: \(35\times2.25 + 28\times3 = 78.75 + 84 = 162.75\) (not equal to 159).
• Option D: \(40\times2.25 + 23\times3 = 90 + 69 = 159\) (matches total revenue).

Answer:

D) 40 small bowls and 23 large bowls