The number of pandan cakes on display at a cafe was
56 of the number of muffins on display. After 25 pandan cakes were bought and the staff added another 42 muffins, the number of muffins was twice the number of pandan cakes. The last group of customers bought 6 muffins each, finishing all the muffins on display. How many customers were there in the last group?
|
Pandan cakes |
Muffins |
Before |
5 u |
6 u |
Change |
- 25 |
+ 42 |
After |
5 u - 25 |
6 u + 42 |
Comparing pandan cakes and muffins in the end |
1 |
2 |
The number of muffins was twice the number of pandan cakes in the end.
Number of muffins in the end
= 2(5 u - 25)
= 10 u - 50
10 u - 50 = 6 u + 42 10 u - 6 u = 50 + 424 u = 92
1 u = 92 ÷ 4 = 23Number of muffins in the end= 6 u + 42= 6 x 23 + 42= 180Number of customers in the last group= 180 ÷ 6= 30 Answer(s): 30