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 crea

Question

1 year ago

5

m and made $159. How many of each size bowl did the shop sell?

1 answer:

andrey2020 [161] · Answer 1 · 2024-02-12T17:00:08+03:00

The number of small size and large size bowls of ice cream sold in the shop is 40 and 22 respectively.

<h3>How to determine the number of each bowl size sold?</h3>

let

Number of small bowl = x

Number of large bowl = y

x + y = 63

2.25x + 3y = 159

From (1)

x = 63 - y

Substitute into (2)

2.25x + 3y = 159

2.25(63 - y) + 3y = 159

141.75 - 2.25y + 3y = 159

- 2.25y + 3y = 159 - 141.75

0.75y = 17.25

divide both sides by 0.75

y = 17.25 / 0.75

y = 23

Substitute y = 23 into (1)

x + y = 63

x + 23 = 63

subtract 23 from both sides

x = 63 - 23

x = 40

In conclusion, The ice cream shop sold 40 small size bowls and 23 large size bowls