The number of strawberry cakes on display at a cafe was
23 of the number of cookies on display. After 17 strawberry cakes were bought and the staff added another 37 cookies, the number of cookies was four times the number of strawberry 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?
| |
Strawberry cakes |
Cookies |
| Before |
2 u |
3 u |
| Change |
- 17 |
+ 37 |
| After |
2 u - 17 |
3 u + 37 |
Comparing strawberry cakes
and cookies
in the end |
1 |
4 |
The number of cookies was four times the number of strawberry cakes in the end.
Number of cookies in the end
= 4(2 u - 17)
= 8 u - 68
8 u - 68 = 3 u + 37 8 u - 3 u = 68 + 375 u = 105
1 u = 105 ÷ 5 = 21Number of cookies in the end= 3 u + 37= 3 x 21 + 37= 100Number of customers in the last group= 100 ÷ 4= 25 Answer(s): 25 
