The number of coffee cakes on display at a cafe was
23 of the number of shortbreads on display. After 18 coffee cakes were bought and the staff added another 43 shortbreads, the number of shortbreads was four times the number of coffee 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?
| |
Coffee cakes |
Shortbreads |
| Before |
2 u |
3 u |
| Change |
- 18 |
+ 43 |
| After |
2 u - 18 |
3 u + 43 |
Comparing coffee cakes
and shortbreads
in the end |
1 |
4 |
The number of shortbreads was four times the number of coffee cakes in the end.
Number of shortbreads in the end
= 4(2 u - 18)
= 8 u - 72
8 u - 72 = 3 u + 43 8 u - 3 u = 72 + 435 u = 115
1 u = 115 ÷ 5 = 23Number of shortbreads in the end= 3 u + 43= 3 x 23 + 43= 112Number of customers in the last group= 112 ÷ 8= 14 Answer(s): 14 
