The number of blueberry cakes on display at a cafe was
23 of the number of wafers on display. After 16 blueberry cakes were bought and the staff added another 36 wafers, the number of wafers was thrice the number of blueberry cakes. The last group of customers bought 5 wafers each, finishing all the wafers on display. How many customers were there in the last group?
|
Blueberry cakes |
Wafers |
Before |
2 u |
3 u |
Change |
- 16 |
+ 36 |
After |
2 u - 16 |
3 u + 36 |
Comparing blueberry cakes and wafers in the end |
1 |
3 |
The number of wafers was thrice the number of blueberry cakes in the end.
Number of wafers in the end
= 3(2 u - 16)
= 6 u - 48
6 u - 48 = 3 u + 36 6 u - 3 u = 48 + 363 u = 84
1 u = 84 ÷ 3 = 28Number of wafers in the end= 3 u + 36= 3 x 28 + 36= 120Number of customers in the last group= 120 ÷ 5= 24 Answer(s): 24