The number of blueberry cakes on display at a cafe was
23 of the number of tarts on display. After 16 blueberry cakes were bought and the staff added another 44 tarts, the number of tarts was twice the number of blueberry 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?
| |
Blueberry cakes |
Tarts |
| Before |
2 u |
3 u |
| Change |
- 16 |
+ 44 |
| After |
2 u - 16 |
3 u + 44 |
Comparing blueberry cakes
and tarts
in the end |
1 |
2 |
The number of tarts was twice the number of blueberry cakes in the end.
Number of tarts in the end
= 2(2 u - 16)
= 4 u - 32
4 u - 32 = 3 u + 44 4 u - 3 u = 32 + 441 u = 76
1 u = 76 ÷ 1 = 76Number of tarts in the end= 3 u + 44= 3 x 76 + 44= 272Number of customers in the last group= 272 ÷ 8= 34 Answer(s): 34 
