The number of apple cakes on display at a cafe was
34 of the number of cupcakes on display. After 22 apple cakes were bought and the staff added another 36 cupcakes, the number of cupcakes was twice the number of apple cakes. The last group of customers bought 7 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 |
- 22 |
+ 36 |
| After |
3 u - 22 |
4 u + 36 |
Comparing apple cakes
and cupcakes
in the end |
1 |
2 |
The number of cupcakes was twice the number of apple cakes in the end.
Number of cupcakes in the end
= 2(3 u - 22)
= 6 u - 44
6 u - 44 = 4 u + 36 6 u - 4 u = 44 + 362 u = 80
1 u = 80 ÷ 2 = 40Number of cupcakes in the end= 4 u + 36= 4 x 40 + 36= 196Number of customers in the last group= 196 ÷ 7= 28 Answer(s): 28 
