The number of strawberry cakes on display at a cafe was
23 of the number of wafers on display. After 22 strawberry cakes were bought and the staff added another 36 wafers, the number of wafers was twice the number of strawberry cakes. The last group of customers bought 6 wafers each, finishing all the wafers on display. How many customers were there in the last group?
| |
Strawberry cakes |
Wafers |
| Before |
2 u |
3 u |
| Change |
- 22 |
+ 36 |
| After |
2 u - 22 |
3 u + 36 |
Comparing strawberry cakes
and wafers
in the end |
1 |
2 |
The number of wafers was twice the number of strawberry cakes in the end.
Number of wafers in the end
= 2(2 u - 22)
= 4 u - 44
4 u - 44 = 3 u + 36 4 u - 3 u = 44 + 361 u = 80
1 u = 80 ÷ 1 = 80Number of wafers in the end= 3 u + 36= 3 x 80 + 36= 276Number of customers in the last group= 276 ÷ 6= 46 Answer(s): 46 
