The number of blueberry cakes on display at a cafe was
34 of the number of shortbreads on display. After 18 blueberry cakes were bought and the staff added another 30 shortbreads, the number of shortbreads was twice the number of blueberry cakes. The last group of customers bought 6 shortbreads each, finishing all the shortbreads on display. How many customers were there in the last group?
|
Blueberry cakes |
Shortbreads |
Before |
3 u |
4 u |
Change |
- 18 |
+ 30 |
After |
3 u - 18 |
4 u + 30 |
Comparing blueberry cakes and shortbreads in the end |
1 |
2 |
The number of shortbreads was twice the number of blueberry cakes in the end.
Number of shortbreads in the end
= 2(3 u - 18)
= 6 u - 36
6 u - 36 = 4 u + 30 6 u - 4 u = 36 + 302 u = 66
1 u = 66 ÷ 2 = 33Number of shortbreads in the end= 4 u + 30= 4 x 33 + 30= 162Number of customers in the last group= 162 ÷ 6= 27 Answer(s): 27