The number of cheese cakes on display at a cafe was
56 of the number of croissants on display. After 19 cheese cakes were bought and the staff added another 42 croissants, the number of croissants was twice the number of cheese 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?
| |
Cheese cakes |
Croissants |
| Before |
5 u |
6 u |
| Change |
- 19 |
+ 42 |
| After |
5 u - 19 |
6 u + 42 |
Comparing cheese cakes
and croissants
in the end |
1 |
2 |
The number of croissants was twice the number of cheese cakes in the end.
Number of croissants in the end
= 2(5 u - 19)
= 10 u - 38
10 u - 38 = 6 u + 42 10 u - 6 u = 38 + 424 u = 80
1 u = 80 ÷ 4 = 20Number of croissants in the end= 6 u + 42= 6 x 20 + 42= 162Number of customers in the last group= 162 ÷ 6= 27 Answer(s): 27 
