The number of coffee cakes on display at a cafe was
34 of the number of puffs on display. After 21 coffee cakes were bought and the staff added another 38 puffs, the number of puffs was twice the number of coffee cakes. The last group of customers bought 6 puffs each, finishing all the puffs on display. How many customers were there in the last group?
|
Coffee cakes |
Puffs |
Before |
3 u |
4 u |
Change |
- 21 |
+ 38 |
After |
3 u - 21 |
4 u + 38 |
Comparing coffee cakes and puffs in the end |
1 |
2 |
The number of puffs was twice the number of coffee cakes in the end.
Number of puffs in the end
= 2(3 u - 21)
= 6 u - 42
6 u - 42 = 4 u + 38 6 u - 4 u = 42 + 382 u = 80
1 u = 80 ÷ 2 = 40Number of puffs in the end= 4 u + 38= 4 x 40 + 38= 198Number of customers in the last group= 198 ÷ 6= 33 Answer(s): 33