The number of cheese cakes on display at a cafe was
23 of the number of muffins on display. After 20 cheese cakes were bought and the staff added another 36 muffins, the number of muffins was thrice the number of cheese 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?
| |
Cheese cakes |
Muffins |
| Before |
2 u |
3 u |
| Change |
- 20 |
+ 36 |
| After |
2 u - 20 |
3 u + 36 |
Comparing cheese cakes
and muffins
in the end |
1 |
3 |
The number of muffins was thrice the number of cheese cakes in the end.
Number of muffins in the end
= 3(2 u - 20)
= 6 u - 60
6 u - 60 = 3 u + 36 6 u - 3 u = 60 + 363 u = 96
1 u = 96 ÷ 3 = 32Number of muffins in the end= 3 u + 36= 3 x 32 + 36= 132Number of customers in the last group= 132 ÷ 6= 22 Answer(s): 22 
