The number of cream cakes on display at a cafe was
34 of the number of wafers on display. After 24 cream cakes were bought and the staff added another 40 wafers, the number of wafers was twice the number of cream 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?
| |
Cream cakes |
Wafers |
| Before |
3 u |
4 u |
| Change |
- 24 |
+ 40 |
| After |
3 u - 24 |
4 u + 40 |
Comparing cream cakes
and wafers
in the end |
1 |
2 |
The number of wafers was twice the number of cream cakes in the end.
Number of wafers in the end
= 2(3 u - 24)
= 6 u - 48
6 u - 48 = 4 u + 40 6 u - 4 u = 48 + 402 u = 88
1 u = 88 ÷ 2 = 44Number of wafers in the end= 4 u + 40= 4 x 44 + 40= 216Number of customers in the last group= 216 ÷ 6= 36 Answer(s): 36 
