The number of cream cakes on display at a cafe was
56 of the number of shortbreads on display. After 23 cream cakes were bought and the staff added another 30 shortbreads, the number of shortbreads was thrice the number of cream cakes. The last group of customers bought 4 shortbreads each, finishing all the shortbreads on display. How many customers were there in the last group?
| |
Cream cakes |
Shortbreads |
| Before |
5 u |
6 u |
| Change |
- 23 |
+ 30 |
| After |
5 u - 23 |
6 u + 30 |
Comparing cream cakes
and shortbreads
in the end |
1 |
3 |
The number of shortbreads was thrice the number of cream cakes in the end.
Number of shortbreads in the end
= 3(5 u - 23)
= 15 u - 69
15 u - 69 = 6 u + 30 15 u - 6 u = 69 + 309 u = 99
1 u = 99 ÷ 9 = 11Number of shortbreads in the end= 6 u + 30= 6 x 11 + 30= 96Number of customers in the last group= 96 ÷ 4= 24 Answer(s): 24 
