Question 1193429: Hi
If each bus takes 40 kids,20 kids will not be able to board. If each bus takes 36 kids, there will be 12 vacant seats.
How many buses and kids are there.
Thanks
Found 2 solutions by math_helper, ikleyn:
Answer by math_helper(2461)   (Show Source):
You can put this solution on YOUR website!
One way to solve is to list the possible values for each of the two bus capacities. For the 40-capacity case, note that 60 kids is the first number
that has 20 left over, and we then add 40 for each additional bus.
40 36
---- ----
60 48
100 84
140 120
180 156
220 192
260 228
300 264
300
The number of kids is 300. The number of buses, however, can not be determined from the problem statement. In the case where each bus holds 40, then there are 7 buses, but if each bus holds 36, then there are 8 buses. If each bus holds 30 kids, then there are 10, etc.
---
Oh thanks tutor ikleyn, I see the 2nd case of buses with capacity 36, the problem mentions VACANT seats.... while I incorrectly treated that portion of the problem as though there was a shortage of seats.
Answer by ikleyn(52810)  (Show Source):
You can put this solution on YOUR website! .
If you are looking for minimal number of kids, consider the number of 60.
One bus of capacity of 40 kids, in the first case.
Two buses of capacity of 36 kids each, in the second case.
The problem's question is posed in UNSATISFACTORY way, which makes the problem self-confusing.
|
|
|
