The number of pandan cakes on display at a cafe was
23 of the number of cookies on display. After 16 pandan cakes were bought and the staff added another 36 cookies, the number of cookies was twice the number of pandan cakes. The last group of customers bought 5 cookies each, finishing all the cookies on display. How many customers were there in the last group?
|
Pandan cakes |
Cookies |
Before |
2 u |
3 u |
Change |
- 16 |
+ 36 |
After |
2 u - 16 |
3 u + 36 |
Comparing pandan cakes and cookies in the end |
1 |
2 |
The number of cookies was twice the number of pandan cakes in the end.
Number of cookies in the end
= 2(2 u - 16)
= 4 u - 32
4 u - 32 = 3 u + 36 4 u - 3 u = 32 + 361 u = 68
1 u = 68 ÷ 1 = 68Number of cookies in the end= 3 u + 36= 3 x 68 + 36= 240Number of customers in the last group= 240 ÷ 5= 48 Answer(s): 48