The number of banana cakes on display at a cafe was
23 of the number of cookies on display. After 18 banana cakes were bought and the staff added another 38 cookies, the number of cookies was four times the number of banana cakes. The last group of customers bought 8 cookies each, finishing all the cookies on display. How many customers were there in the last group?
| |
Banana cakes |
Cookies |
| Before |
2 u |
3 u |
| Change |
- 18 |
+ 38 |
| After |
2 u - 18 |
3 u + 38 |
Comparing banana cakes
and cookies
in the end |
1 |
4 |
The number of cookies was four times the number of banana cakes in the end.
Number of cookies in the end
= 4(2 u - 18)
= 8 u - 72
8 u - 72 = 3 u + 38 8 u - 3 u = 72 + 385 u = 110
1 u = 110 ÷ 5 = 22Number of cookies in the end= 3 u + 38= 3 x 22 + 38= 104Number of customers in the last group= 104 ÷ 8= 13 Answer(s): 13 
