The number of apple cakes on display at a cafe was
45 of the number of scones on display. After 22 apple cakes were bought and the staff added another 31 scones, the number of scones was twice the number of apple cakes. The last group of customers bought 6 scones each, finishing all the scones on display. How many customers were there in the last group?
| |
Apple cakes |
Scones |
| Before |
4 u |
5 u |
| Change |
- 22 |
+ 31 |
| After |
4 u - 22 |
5 u + 31 |
Comparing apple cakes
and scones
in the end |
1 |
2 |
The number of scones was twice the number of apple cakes in the end.
Number of scones in the end
= 2(4 u - 22)
= 8 u - 44
8 u - 44 = 5 u + 31 8 u - 5 u = 44 + 313 u = 75
1 u = 75 ÷ 3 = 25Number of scones in the end= 5 u + 31= 5 x 25 + 31= 156Number of customers in the last group= 156 ÷ 6= 26 Answer(s): 26 
