Adult Water Cooler Problem

san0322

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Joined
Mar 27, 2012
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I am an adult and have obviously not had a match class for quite some time. I realize this is probably quite an easy problem, but for the life of me, I cannot figure this out.
In my department, we get water delivered monthly which is charged to one co-worker's credit card. He has been charging a flat fee, but the price fluctuates every month due to the amount of bottles we have delivered. Thus, we are going to a percentage system.

Here is the problem:
11 people total participate in the monthly water cooler dues.
9 of the 11 are in the office full-time, 5 days per week
2 of the 11 are in the office 3 days per week (and at one of our satellite offices)

I realize that the 2 people who are in the office 3 days per week should only pay 60% of what everyone else is paying, but I can't figure out the percentages for everyone.

For example, is the bill is $90, what percentage should each person in the group of 9 pay and what percentage should each of the other 2 pay?

Thanks in advance for your help!
 
I am an adult and have obviously not had a match class for quite some time. I realize this is probably quite an easy problem, but for the life of me, I cannot figure this out.
In my department, we get water delivered monthly which is charged to one co-worker's credit card. He has been charging a flat fee, but the price fluctuates every month due to the amount of bottles we have delivered. Thus, we are going to a percentage system.

Here is the problem:
11 people total participate in the monthly water cooler dues.
9 of the 11 are in the office full-time, 5 days per week
2 of the 11 are in the office 3 days per week (and at one of our satellite offices)

I realize that the 2 people who are in the office 3 days per week should only pay 60% of what everyone else is paying, but I can't figure out the percentages for everyone.

For example, is the bill is $90, what percentage should each person in the group of 9 pay and what percentage should each of the other 2 pay?

Thanks in advance for your help!

Calculate with weighted average.

There are total (9*2 + 11*3 =) 51 (hu)man-days per week

Then the 9 full timers should pay (x/51)*5 each

the part timers should pay (x/51)*3 each

Convert those to appropriate % values.
 
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