The number of cream cakes on display at a cafe was
23 of the number of shortbreads on display. After 24 cream cakes were bought and the staff added another 39 shortbreads, the number of shortbreads was twice 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 |
2 u |
3 u |
| Change |
- 24 |
+ 39 |
| After |
2 u - 24 |
3 u + 39 |
Comparing cream cakes
and shortbreads
in the end |
1 |
2 |
The number of shortbreads was twice the number of cream cakes in the end.
Number of shortbreads in the end
= 2(2 u - 24)
= 4 u - 48
4 u - 48 = 3 u + 39 4 u - 3 u = 48 + 391 u = 87
1 u = 87 ÷ 1 = 87Number of shortbreads in the end= 3 u + 39= 3 x 87 + 39= 300Number of customers in the last group= 300 ÷ 4= 75 Answer(s): 75 
