1. ## Impossible Math Problem

I've been racking my brain all day on this. I'm usually pretty good about finding out how someone comes up with a number but I'm completely lost on this one. I'm in a battle of the bands tournament and the judge points are always different for each night. Each judge is allowed to award a total of 9 points in which each point is worth a different amount every night. The amount is determined by the number of people that show up to the show. Below is all of the first 9 nights' total votes and what each judge point was worth. We were told that the judge's would count for 30% of the total score but some bands' judge score counts as 40% of their total score. I may have been on the wrong track the entire time though... I've been trying to find the relation between the judge points and total votes. Maybe it's total fan points and the judge points that are related. Go to battleofbirdys.com and click on each of the first nights to see what the results were and you will see what information I'm working with.

1______82__________11.8
2______172_________24.5
3______139_________19.9
4______131_________18.7
5______106_________15.1
6______78__________11.1
7______166_________23.8
8______75__________10.7
9______154_________22.0

2. ## Here's an approximation...

It seems like the judge points are determined by:

3. Originally Posted by numbersfreak
I've been racking my brain all day on this. I'm usually pretty good about finding out how someone comes up with a number but I'm completely lost on this one. I'm in a battle of the bands tournament and the judge points are always different for each night. Each judge is allowed to award a total of 9 points in which each point is worth a different amount every night. The amount is determined by the number of people that show up to the show. Below is all of the first 9 nights' total votes and what each judge point was worth. We were told that the judge's would count for 30% of the total score but some bands' judge score counts as 40% of their total score. I may have been on the wrong track the entire time though... I've been trying to find the relation between the judge points and total votes. Maybe it's total fan points and the judge points that are related. Go to battleofbirdys.com and click on each of the first nights to see what the results were and you will see what information I'm working with.

1______82__________11.8
2______172_________24.5
3______139_________19.9
4______131_________18.7
5______106_________15.1
6______78__________11.1
7______166_________23.8
8______75__________10.7
9______154_________22.0
within a very small per cent err

$\dfrac{TotalVotes}{JudgePts} = 7$

.