The number of cream cakes on display at a cafe was
45 of the number of scones on display. After 24 cream cakes were bought and the staff added another 40 scones, the number of scones was thrice the number of cream cakes. The last group of customers bought 8 scones each, finishing all the scones on display. How many customers were there in the last group?
| |
Cream cakes |
Scones |
| Before |
4 u |
5 u |
| Change |
- 24 |
+ 40 |
| After |
4 u - 24 |
5 u + 40 |
Comparing cream cakes
and scones
in the end |
1 |
3 |
The number of scones was thrice the number of cream cakes in the end.
Number of scones in the end
= 3(4 u - 24)
= 12 u - 72
12 u - 72 = 5 u + 40 12 u - 5 u = 72 + 407 u = 112
1 u = 112 ÷ 7 = 16Number of scones in the end= 5 u + 40= 5 x 16 + 40= 120Number of customers in the last group= 120 ÷ 8= 15 Answer(s): 15 
