The number of pandan cakes on display at a cafe was
34 of the number of biscuits on display. After 24 pandan cakes were bought and the staff added another 38 biscuits, the number of biscuits was twice the number of pandan cakes. The last group of customers bought 7 biscuits each, finishing all the biscuits on display. How many customers were there in the last group?
|
Pandan cakes |
Biscuits |
Before |
3 u |
4 u |
Change |
- 24 |
+ 38 |
After |
3 u - 24 |
4 u + 38 |
Comparing pandan cakes and biscuits in the end |
1 |
2 |
The number of biscuits was twice the number of pandan cakes in the end.
Number of biscuits in the end
= 2(3 u - 24)
= 6 u - 48
6 u - 48 = 4 u + 38 6 u - 4 u = 48 + 382 u = 86
1 u = 86 ÷ 2 = 43Number of biscuits in the end= 4 u + 38= 4 x 43 + 38= 210Number of customers in the last group= 210 ÷ 7= 30 Answer(s): 30