The number of cheese cakes on display at a cafe was
56 of the number of croissants on display. After 21 cheese cakes were bought and the staff added another 30 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 |
- 21 |
+ 30 |
After |
5 u - 21 |
6 u + 30 |
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 - 21)
= 10 u - 42
10 u - 42 = 6 u + 30 10 u - 6 u = 42 + 304 u = 72
1 u = 72 ÷ 4 = 18Number of croissants in the end= 6 u + 30= 6 x 18 + 30= 138Number of customers in the last group= 138 ÷ 6= 23 Answer(s): 23