The number of mocca cakes on display at a cafe was
23 of the number of puffs on display. After 15 mocca cakes were bought and the staff added another 44 puffs, the number of puffs was twice the number of mocca 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?
| |
Mocca cakes |
Puffs |
| Before |
2 u |
3 u |
| Change |
- 15 |
+ 44 |
| After |
2 u - 15 |
3 u + 44 |
Comparing mocca cakes
and puffs
in the end |
1 |
2 |
The number of puffs was twice the number of mocca cakes in the end.
Number of puffs in the end
= 2(2 u - 15)
= 4 u - 30
4 u - 30 = 3 u + 44 4 u - 3 u = 30 + 441 u = 74
1 u = 74 ÷ 1 = 74Number of puffs in the end= 3 u + 44= 3 x 74 + 44= 266Number of customers in the last group= 266 ÷ 7= 38 Answer(s): 38 
