The number of banana cakes on display at a cafe was
34 of the number of shortbreads on display. After 15 banana cakes were bought and the staff added another 36 shortbreads, the number of shortbreads was four times the number of banana cakes. The last group of customers bought 6 shortbreads each, finishing all the shortbreads on display. How many customers were there in the last group?
| |
Banana cakes |
Shortbreads |
| Before |
3 u |
4 u |
| Change |
- 15 |
+ 36 |
| After |
3 u - 15 |
4 u + 36 |
Comparing banana cakes
and shortbreads
in the end |
1 |
4 |
The number of shortbreads was four times the number of banana cakes in the end.
Number of shortbreads in the end
= 4(3 u - 15)
= 12 u - 60
12 u - 60 = 4 u + 36 12 u - 4 u = 60 + 368 u = 96
1 u = 96 ÷ 8 = 12Number of shortbreads in the end= 4 u + 36= 4 x 12 + 36= 84Number of customers in the last group= 84 ÷ 6= 14 Answer(s): 14 
