The number of coffee cakes on display at a cafe was
45 of the number of cookies on display. After 24 coffee cakes were bought and the staff added another 30 cookies, the number of cookies was five times the number of coffee cakes. The last group of customers bought 5 cookies each, finishing all the cookies on display. How many customers were there in the last group?
| |
Coffee cakes |
Cookies |
| Before |
4 u |
5 u |
| Change |
- 24 |
+ 30 |
| After |
4 u - 24 |
5 u + 30 |
Comparing coffee cakes
and cookies
in the end |
1 |
5 |
The number of cookies was five times the number of coffee cakes in the end.
Number of cookies in the end
= 5(4 u - 24)
= 20 u - 120
20 u - 120 = 5 u + 30 20 u - 5 u = 120 + 3015 u = 150
1 u = 150 ÷ 15 = 10Number of cookies in the end= 5 u + 30= 5 x 10 + 30= 80Number of customers in the last group= 80 ÷ 5= 16 Answer(s): 16 
