The number of cheese cakes on display at a cafe was
23 of the number of shortbreads on display. After 18 cheese cakes were bought and the staff added another 43 shortbreads, the number of shortbreads was twice the number of cheese cakes. The last group of customers bought 8 shortbreads each, finishing all the shortbreads on display. How many customers were there in the last group?
| |
Cheese cakes |
Shortbreads |
| Before |
2 u |
3 u |
| Change |
- 18 |
+ 43 |
| After |
2 u - 18 |
3 u + 43 |
Comparing cheese cakes
and shortbreads
in the end |
1 |
2 |
The number of shortbreads was twice the number of cheese cakes in the end.
Number of shortbreads in the end
= 2(2 u - 18)
= 4 u - 36
4 u - 36 = 3 u + 43 4 u - 3 u = 36 + 431 u = 79
1 u = 79 ÷ 1 = 79Number of shortbreads in the end= 3 u + 43= 3 x 79 + 43= 280Number of customers in the last group= 280 ÷ 8= 35 Answer(s): 35 
