The number of cheese cakes on display at a cafe was
56 of the number of scones on display. After 25 cheese cakes were bought and the staff added another 42 scones, the number of scones was twice the number of cheese 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?
| |
Cheese cakes |
Scones |
| Before |
5 u |
6 u |
| Change |
- 25 |
+ 42 |
| After |
5 u - 25 |
6 u + 42 |
Comparing cheese cakes
and scones
in the end |
1 |
2 |
The number of scones was twice the number of cheese cakes in the end.
Number of scones in the end
= 2(5 u - 25)
= 10 u - 50
10 u - 50 = 6 u + 42 10 u - 6 u = 50 + 424 u = 92
1 u = 92 ÷ 4 = 23Number of scones in the end= 6 u + 42= 6 x 23 + 42= 180Number of customers in the last group= 180 ÷ 6= 30 Answer(s): 30 
