The number of apple cakes on display at a cafe was
23 of the number of scones on display. After 25 apple cakes were bought and the staff added another 45 scones, the number of scones was thrice the number of apple cakes. The last group of customers bought 5 scones each, finishing all the scones on display. How many customers were there in the last group?
| |
Apple cakes |
Scones |
| Before |
2 u |
3 u |
| Change |
- 25 |
+ 45 |
| After |
2 u - 25 |
3 u + 45 |
Comparing apple cakes
and scones
in the end |
1 |
3 |
The number of scones was thrice the number of apple cakes in the end.
Number of scones in the end
= 3(2 u - 25)
= 6 u - 75
6 u - 75 = 3 u + 45 6 u - 3 u = 75 + 453 u = 120
1 u = 120 ÷ 3 = 40Number of scones in the end= 3 u + 45= 3 x 40 + 45= 165Number of customers in the last group= 165 ÷ 5= 33 Answer(s): 33 
