The number of mocca cakes on display at a cafe was
56 of the number of puffs on display. After 17 mocca cakes were bought and the staff added another 42 puffs, the number of puffs was twice the number of mocca 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?
|
Mocca cakes |
Puffs |
Before |
5 u |
6 u |
Change |
- 17 |
+ 42 |
After |
5 u - 17 |
6 u + 42 |
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(5 u - 17)
= 10 u - 34
10 u - 34 = 6 u + 42 10 u - 6 u = 34 + 424 u = 76
1 u = 76 ÷ 4 = 19Number of puffs in the end= 6 u + 42= 6 x 19 + 42= 156Number of customers in the last group= 156 ÷ 4= 39 Answer(s): 39