The number of cream cakes on display at a cafe was
45 of the number of croissants on display. After 20 cream cakes were bought and the staff added another 45 croissants, the number of croissants was thrice the number of cream cakes. The last group of customers bought 8 croissants each, finishing all the croissants on display. How many customers were there in the last group?
| |
Cream cakes |
Croissants |
| Before |
4 u |
5 u |
| Change |
- 20 |
+ 45 |
| After |
4 u - 20 |
5 u + 45 |
Comparing cream cakes
and croissants
in the end |
1 |
3 |
The number of croissants was thrice the number of cream cakes in the end.
Number of croissants in the end
= 3(4 u - 20)
= 12 u - 60
12 u - 60 = 5 u + 45 12 u - 5 u = 60 + 457 u = 105
1 u = 105 ÷ 7 = 15Number of croissants in the end= 5 u + 45= 5 x 15 + 45= 120Number of customers in the last group= 120 ÷ 8= 15 Answer(s): 15 
