The number of apple cakes on display at a cafe was
23 of the number of puffs on display. After 22 apple cakes were bought and the staff added another 45 puffs, the number of puffs was thrice the number of apple 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?
| |
Apple cakes |
Puffs |
| Before |
2 u |
3 u |
| Change |
- 22 |
+ 45 |
| After |
2 u - 22 |
3 u + 45 |
Comparing apple cakes
and puffs
in the end |
1 |
3 |
The number of puffs was thrice the number of apple cakes in the end.
Number of puffs in the end
= 3(2 u - 22)
= 6 u - 66
6 u - 66 = 3 u + 45 6 u - 3 u = 66 + 453 u = 111
1 u = 111 ÷ 3 = 37Number of puffs in the end= 3 u + 45= 3 x 37 + 45= 156Number of customers in the last group= 156 ÷ 4= 39 Answer(s): 39 
