The number of durian cakes on display at a cafe was
34 of the number of wafers on display. After 16 durian cakes were bought and the staff added another 32 wafers, the number of wafers was thrice the number of durian cakes. The last group of customers bought 8 wafers each, finishing all the wafers on display. How many customers were there in the last group?
| |
Durian cakes |
Wafers |
| Before |
3 u |
4 u |
| Change |
- 16 |
+ 32 |
| After |
3 u - 16 |
4 u + 32 |
Comparing durian cakes
and wafers
in the end |
1 |
3 |
The number of wafers was thrice the number of durian cakes in the end.
Number of wafers in the end
= 3(3 u - 16)
= 9 u - 48
9 u - 48 = 4 u + 32 9 u - 4 u = 48 + 325 u = 80
1 u = 80 ÷ 5 = 16Number of wafers in the end= 4 u + 32= 4 x 16 + 32= 96Number of customers in the last group= 96 ÷ 8= 12 Answer(s): 12 
