The number of cheese cakes on display at a cafe was
23 of the number of tarts on display. After 18 cheese cakes were bought and the staff added another 45 tarts, the number of tarts was twice the number of cheese cakes. The last group of customers bought 8 tarts each, finishing all the tarts on display. How many customers were there in the last group?
|
Cheese cakes |
Tarts |
Before |
2 u |
3 u |
Change |
- 18 |
+ 45 |
After |
2 u - 18 |
3 u + 45 |
Comparing cheese cakes and tarts in the end |
1 |
2 |
The number of tarts was twice the number of cheese cakes in the end.
Number of tarts in the end
= 2(2 u - 18)
= 4 u - 36
4 u - 36 = 3 u + 45 4 u - 3 u = 36 + 451 u = 81
1 u = 81 ÷ 1 = 81Number of tarts in the end= 3 u + 45= 3 x 81 + 45= 288Number of customers in the last group= 288 ÷ 8= 36 Answer(s): 36