The number of banana cakes on display at a cafe was
34 of the number of scones on display. After 16 banana cakes were bought and the staff added another 30 scones, the number of scones was five times the number of banana cakes. The last group of customers bought 5 scones each, finishing all the scones on display. How many customers were there in the last group?
| |
Banana cakes |
Scones |
| Before |
3 u |
4 u |
| Change |
- 16 |
+ 30 |
| After |
3 u - 16 |
4 u + 30 |
Comparing banana cakes
and scones
in the end |
1 |
5 |
The number of scones was five times the number of banana cakes in the end.
Number of scones in the end
= 5(3 u - 16)
= 15 u - 80
15 u - 80 = 4 u + 30 15 u - 4 u = 80 + 3011 u = 110
1 u = 110 ÷ 11 = 10Number of scones in the end= 4 u + 30= 4 x 10 + 30= 70Number of customers in the last group= 70 ÷ 5= 14 Answer(s): 14 
