The number of apple cakes on display at a cafe was
34 of the number of cupcakes on display. After 25 apple cakes were bought and the staff added another 36 cupcakes, the number of cupcakes was four times the number of apple cakes. The last group of customers bought 4 cupcakes each, finishing all the cupcakes on display. How many customers were there in the last group?
|
Apple cakes |
Cupcakes |
Before |
3 u |
4 u |
Change |
- 25 |
+ 36 |
After |
3 u - 25 |
4 u + 36 |
Comparing apple cakes and cupcakes in the end |
1 |
4 |
The number of cupcakes was four times the number of apple cakes in the end.
Number of cupcakes in the end
= 4(3 u - 25)
= 12 u - 100
12 u - 100 = 4 u + 36 12 u - 4 u = 100 + 368 u = 136
1 u = 136 ÷ 8 = 17Number of cupcakes in the end= 4 u + 36= 4 x 17 + 36= 104Number of customers in the last group= 104 ÷ 4= 26 Answer(s): 26