The number of strawberry cakes on display at a cafe was
34 of the number of shortbreads on display. After 22 strawberry cakes were bought and the staff added another 40 shortbreads, the number of shortbreads was four times the number of strawberry cakes. The last group of customers bought 4 shortbreads each, finishing all the shortbreads on display. How many customers were there in the last group?
| |
Strawberry cakes |
Shortbreads |
| Before |
3 u |
4 u |
| Change |
- 22 |
+ 40 |
| After |
3 u - 22 |
4 u + 40 |
Comparing strawberry cakes
and shortbreads
in the end |
1 |
4 |
The number of shortbreads was four times the number of strawberry cakes in the end.
Number of shortbreads in the end
= 4(3 u - 22)
= 12 u - 88
12 u - 88 = 4 u + 40 12 u - 4 u = 88 + 408 u = 128
1 u = 128 ÷ 8 = 16Number of shortbreads in the end= 4 u + 40= 4 x 16 + 40= 104Number of customers in the last group= 104 ÷ 4= 26 Answer(s): 26 
