The number of apple cakes on display at a cafe was
45 of the number of muffins on display. After 23 apple cakes were bought and the staff added another 35 muffins, the number of muffins was five times the number of apple cakes. The last group of customers bought 5 muffins each, finishing all the muffins on display. How many customers were there in the last group?
| |
Apple cakes |
Muffins |
| Before |
4 u |
5 u |
| Change |
- 23 |
+ 35 |
| After |
4 u - 23 |
5 u + 35 |
Comparing apple cakes
and muffins
in the end |
1 |
5 |
The number of muffins was five times the number of apple cakes in the end.
Number of muffins in the end
= 5(4 u - 23)
= 20 u - 115
20 u - 115 = 5 u + 35 20 u - 5 u = 115 + 3515 u = 150
1 u = 150 ÷ 15 = 10Number of muffins in the end= 5 u + 35= 5 x 10 + 35= 85Number of customers in the last group= 85 ÷ 5= 17 Answer(s): 17 
