The number of banana cakes on display at a cafe was
56 of the number of shortbreads on display. After 25 banana cakes were bought and the staff added another 34 shortbreads, the number of shortbreads was twice the number of banana cakes. The last group of customers bought 5 shortbreads each, finishing all the shortbreads on display. How many customers were there in the last group?
|
Banana cakes |
Shortbreads |
Before |
5 u |
6 u |
Change |
- 25 |
+ 34 |
After |
5 u - 25 |
6 u + 34 |
Comparing banana cakes and shortbreads in the end |
1 |
2 |
The number of shortbreads was twice the number of banana cakes in the end.
Number of shortbreads in the end
= 2(5 u - 25)
= 10 u - 50
10 u - 50 = 6 u + 34 10 u - 6 u = 50 + 344 u = 84
1 u = 84 ÷ 4 = 21Number of shortbreads in the end= 6 u + 34= 6 x 21 + 34= 160Number of customers in the last group= 160 ÷ 5= 32 Answer(s): 32