The number of blueberry cakes on display at a cafe was
34 of the number of puffs on display. After 24 blueberry cakes were bought and the staff added another 38 puffs, the number of puffs was thrice the number of blueberry cakes. The last group of customers bought 7 puffs each, finishing all the puffs on display. How many customers were there in the last group?
| |
Blueberry cakes |
Puffs |
| Before |
3 u |
4 u |
| Change |
- 24 |
+ 38 |
| After |
3 u - 24 |
4 u + 38 |
Comparing blueberry cakes
and puffs
in the end |
1 |
3 |
The number of puffs was thrice the number of blueberry cakes in the end.
Number of puffs in the end
= 3(3 u - 24)
= 9 u - 72
9 u - 72 = 4 u + 38 9 u - 4 u = 72 + 385 u = 110
1 u = 110 ÷ 5 = 22Number of puffs in the end= 4 u + 38= 4 x 22 + 38= 126Number of customers in the last group= 126 ÷ 7= 18 Answer(s): 18 
