The number of strawberry cakes on display at a cafe was
23 of the number of croissants on display. After 19 strawberry cakes were bought and the staff added another 38 croissants, the number of croissants was five times the number of strawberry cakes. The last group of customers bought 5 croissants each, finishing all the croissants on display. How many customers were there in the last group?
| |
Strawberry cakes |
Croissants |
| Before |
2 u |
3 u |
| Change |
- 19 |
+ 38 |
| After |
2 u - 19 |
3 u + 38 |
Comparing strawberry cakes
and croissants
in the end |
1 |
5 |
The number of croissants was five times the number of strawberry cakes in the end.
Number of croissants in the end
= 5(2 u - 19)
= 10 u - 95
10 u - 95 = 3 u + 38 10 u - 3 u = 95 + 387 u = 133
1 u = 133 ÷ 7 = 19Number of croissants in the end= 3 u + 38= 3 x 19 + 38= 95Number of customers in the last group= 95 ÷ 5= 19 Answer(s): 19 
