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