The number of cheese cakes on display at a cafe was
56 of the number of croissants on display. After 16 cheese cakes were bought and the staff added another 34 croissants, the number of croissants was five times the number of cheese cakes. The last group of customers bought 7 croissants each, finishing all the croissants on display. How many customers were there in the last group?
| |
Cheese cakes |
Croissants |
| Before |
5 u |
6 u |
| Change |
- 16 |
+ 34 |
| After |
5 u - 16 |
6 u + 34 |
Comparing cheese cakes
and croissants
in the end |
1 |
5 |
The number of croissants was five times the number of cheese cakes in the end.
Number of croissants in the end
= 5(5 u - 16)
= 25 u - 80
25 u - 80 = 6 u + 34 25 u - 6 u = 80 + 3419 u = 114
1 u = 114 ÷ 19 = 6Number of croissants in the end= 6 u + 34= 6 x 6 + 34= 70Number of customers in the last group= 70 ÷ 7= 10 Answer(s): 10 
