The number of mocca cakes on display at a cafe was
23 of the number of scones on display. After 18 mocca cakes were bought and the staff added another 33 scones, the number of scones was twice the number of mocca 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?
| |
Mocca cakes |
Scones |
| Before |
2 u |
3 u |
| Change |
- 18 |
+ 33 |
| After |
2 u - 18 |
3 u + 33 |
Comparing mocca cakes
and scones
in the end |
1 |
2 |
The number of scones was twice the number of mocca cakes in the end.
Number of scones in the end
= 2(2 u - 18)
= 4 u - 36
4 u - 36 = 3 u + 33 4 u - 3 u = 36 + 331 u = 69
1 u = 69 ÷ 1 = 69Number of scones in the end= 3 u + 33= 3 x 69 + 33= 240Number of customers in the last group= 240 ÷ 5= 48 Answer(s): 48 
