The number of banana cakes on display at a cafe was
45 of the number of puffs on display. After 25 banana cakes were bought and the staff added another 32 puffs, the number of puffs was four times the number of banana cakes. The last group of customers bought 4 puffs each, finishing all the puffs on display. How many customers were there in the last group?
|
Banana cakes |
Puffs |
Before |
4 u |
5 u |
Change |
- 25 |
+ 32 |
After |
4 u - 25 |
5 u + 32 |
Comparing banana cakes and puffs in the end |
1 |
4 |
The number of puffs was four times the number of banana cakes in the end.
Number of puffs in the end
= 4(4 u - 25)
= 16 u - 100
16 u - 100 = 5 u + 32 16 u - 5 u = 100 + 3211 u = 132
1 u = 132 ÷ 11 = 12Number of puffs in the end= 5 u + 32= 5 x 12 + 32= 92Number of customers in the last group= 92 ÷ 4= 23 Answer(s): 23