The number of cream cakes on display at a cafe was
45 of the number of cookies on display. After 19 cream cakes were bought and the staff added another 45 cookies, the number of cookies was four times the number of cream cakes. The last group of customers bought 4 cookies each, finishing all the cookies on display. How many customers were there in the last group?
| |
Cream cakes |
Cookies |
| Before |
4 u |
5 u |
| Change |
- 19 |
+ 45 |
| After |
4 u - 19 |
5 u + 45 |
Comparing cream cakes
and cookies
in the end |
1 |
4 |
The number of cookies was four times the number of cream cakes in the end.
Number of cookies in the end
= 4(4 u - 19)
= 16 u - 76
16 u - 76 = 5 u + 45 16 u - 5 u = 76 + 4511 u = 121
1 u = 121 ÷ 11 = 11Number of cookies in the end= 5 u + 45= 5 x 11 + 45= 100Number of customers in the last group= 100 ÷ 4= 25 Answer(s): 25 
