The number of durian cakes on display at a cafe was
23 of the number of cupcakes on display. After 17 durian cakes were bought and the staff added another 36 cupcakes, the number of cupcakes was twice the number of durian cakes. The last group of customers bought 6 cupcakes each, finishing all the cupcakes on display. How many customers were there in the last group?
| |
Durian cakes |
Cupcakes |
| Before |
2 u |
3 u |
| Change |
- 17 |
+ 36 |
| After |
2 u - 17 |
3 u + 36 |
Comparing durian cakes
and cupcakes
in the end |
1 |
2 |
The number of cupcakes was twice the number of durian cakes in the end.
Number of cupcakes in the end
= 2(2 u - 17)
= 4 u - 34
4 u - 34 = 3 u + 36 4 u - 3 u = 34 + 361 u = 70
1 u = 70 ÷ 1 = 70Number of cupcakes in the end= 3 u + 36= 3 x 70 + 36= 246Number of customers in the last group= 246 ÷ 6= 41 Answer(s): 41 
