The number of apple cakes on display at a cafe was
23 of the number of shortbreads on display. After 20 apple cakes were bought and the staff added another 42 shortbreads, the number of shortbreads was thrice the number of apple 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?
| |
Apple cakes |
Shortbreads |
| Before |
2 u |
3 u |
| Change |
- 20 |
+ 42 |
| After |
2 u - 20 |
3 u + 42 |
Comparing apple cakes
and shortbreads
in the end |
1 |
3 |
The number of shortbreads was thrice the number of apple cakes in the end.
Number of shortbreads in the end
= 3(2 u - 20)
= 6 u - 60
6 u - 60 = 3 u + 42 6 u - 3 u = 60 + 423 u = 102
1 u = 102 ÷ 3 = 34Number of shortbreads in the end= 3 u + 42= 3 x 34 + 42= 144Number of customers in the last group= 144 ÷ 8= 18 Answer(s): 18 
