The number of cheese cakes on display at a cafe was
23 of the number of cookies on display. After 19 cheese cakes were bought and the staff added another 44 cookies, the number of cookies was four times the number of cheese 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?
|
Cheese cakes |
Cookies |
Before |
2 u |
3 u |
Change |
- 19 |
+ 44 |
After |
2 u - 19 |
3 u + 44 |
Comparing cheese cakes and cookies in the end |
1 |
4 |
The number of cookies was four times the number of cheese cakes in the end.
Number of cookies in the end
= 4(2 u - 19)
= 8 u - 76
8 u - 76 = 3 u + 44 8 u - 3 u = 76 + 445 u = 120
1 u = 120 ÷ 5 = 24Number of cookies in the end= 3 u + 44= 3 x 24 + 44= 116Number of customers in the last group= 116 ÷ 4= 29 Answer(s): 29