The number of apple cakes on display at a cafe was
34 of the number of tarts on display. After 18 apple cakes were bought and the staff added another 40 tarts, the number of tarts was twice the number of apple cakes. The last group of customers bought 4 tarts each, finishing all the tarts on display. How many customers were there in the last group?
| |
Apple cakes |
Tarts |
| Before |
3 u |
4 u |
| Change |
- 18 |
+ 40 |
| After |
3 u - 18 |
4 u + 40 |
Comparing apple cakes
and tarts
in the end |
1 |
2 |
The number of tarts was twice the number of apple cakes in the end.
Number of tarts in the end
= 2(3 u - 18)
= 6 u - 36
6 u - 36 = 4 u + 40 6 u - 4 u = 36 + 402 u = 76
1 u = 76 ÷ 2 = 38Number of tarts in the end= 4 u + 40= 4 x 38 + 40= 192Number of customers in the last group= 192 ÷ 4= 48 Answer(s): 48 
