The number of banana cakes on display at a cafe was
34 of the number of muffins on display. After 19 banana cakes were bought and the staff added another 33 muffins, the number of muffins was thrice the number of banana cakes. The last group of customers bought 7 muffins each, finishing all the muffins on display. How many customers were there in the last group?
| |
Banana cakes |
Muffins |
| Before |
3 u |
4 u |
| Change |
- 19 |
+ 33 |
| After |
3 u - 19 |
4 u + 33 |
Comparing banana cakes
and muffins
in the end |
1 |
3 |
The number of muffins was thrice the number of banana cakes in the end.
Number of muffins in the end
= 3(3 u - 19)
= 9 u - 57
9 u - 57 = 4 u + 33 9 u - 4 u = 57 + 335 u = 90
1 u = 90 ÷ 5 = 18Number of muffins in the end= 4 u + 33= 4 x 18 + 33= 105Number of customers in the last group= 105 ÷ 7= 15 Answer(s): 15 
