The number of apple cakes on display at a cafe was
56 of the number of cupcakes on display. After 18 apple cakes were bought and the staff added another 40 cupcakes, the number of cupcakes was four times the number of apple cakes. The last group of customers bought 8 cupcakes each, finishing all the cupcakes on display. How many customers were there in the last group?
| |
Apple cakes |
Cupcakes |
| Before |
5 u |
6 u |
| Change |
- 18 |
+ 40 |
| After |
5 u - 18 |
6 u + 40 |
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(5 u - 18)
= 20 u - 72
20 u - 72 = 6 u + 40 20 u - 6 u = 72 + 4014 u = 112
1 u = 112 ÷ 14 = 8Number of cupcakes in the end= 6 u + 40= 6 x 8 + 40= 88Number of customers in the last group= 88 ÷ 8= 11 Answer(s): 11 
