The number of apple cakes on display at a cafe was
23 of the number of croissants on display. After 20 apple cakes were bought and the staff added another 30 croissants, the number of croissants was four times the number of apple cakes. The last group of customers bought 6 croissants each, finishing all the croissants on display. How many customers were there in the last group?
| |
Apple cakes |
Croissants |
| Before |
2 u |
3 u |
| Change |
- 20 |
+ 30 |
| After |
2 u - 20 |
3 u + 30 |
Comparing apple cakes
and croissants
in the end |
1 |
4 |
The number of croissants was four times the number of apple cakes in the end.
Number of croissants in the end
= 4(2 u - 20)
= 8 u - 80
8 u - 80 = 3 u + 30 8 u - 3 u = 80 + 305 u = 110
1 u = 110 ÷ 5 = 22Number of croissants in the end= 3 u + 30= 3 x 22 + 30= 96Number of customers in the last group= 96 ÷ 6= 16 Answer(s): 16 
