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Old 04-23-2006, 08:59 PM   #1
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HELP with math problem

OK, I'm in charge of all the billing in my house of four. Usually, I buy everything we need and bill the three other housemates accordingly. However, I was gone this weekend, and instead of having one person buy the stuff, they all each bought one thing and nothing has the same value.

Melissa spent $8.30 on toilet paper, so she is owed $6.23, each person owes her $2.08

Taylor spent $11 on paper towel, so she is owed $8.25, each person owes her $2.75

Colleen spent $20 on trash bags, so she is owed $15, each person owes her $5


Now, I have a cable bill coming up which is $48.85 total, or $12.21 per person.

I have to figure out how to get everyone to pay everyone else back based on what is owed to me when I send out the cable bill. Make sense?

I can't figure it out!
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Old 04-23-2006, 09:04 PM   #2
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I spoke too soon, I think I've got it right but I'll wait and see if a math wiz gets the same answers...
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Old 04-23-2006, 09:20 PM   #3
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I think that's right...at least from the calculations that I got
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Old 04-23-2006, 09:36 PM   #4
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But I didn't post my answers yet
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Old 04-23-2006, 09:58 PM   #5
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make it simple...

2.08 plus 2.75 plus 5 plus 12.21 = 22.04 that each person has to pay alltogether

-> take a box

Melinda spent 8.30, so she puts 13.74 inside
Taylor spent 11, so she puts 11.04 inside
Colleen spent 20, so she puts 2.04 inside
You spent 48.85 so you take 26,81 out and pay the whole cable bill

one cent is left
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Old 04-23-2006, 10:14 PM   #6
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But, we want it done so no more money has to change hands except whatever is left of the cable bill that they owe me.

This is what I did, please tell me if it makes sense:

So, with the cable bill in mind, everyone owes me $12.21. What I did first was basically pay everyone else back 3/4 the amount they paid (because 1/4 they have to pay for themselves) by subtracting that from the amount they owe me, so Melissa still owes me $3.91, Taylor still owes me $3.96, and I still owe Colleen $2.79.

Now, we're splitting everything by four because there's four people. So, since I paid everyone back in full, I'm still owed 2/4 for each of their supplies (1/4 being what I owe myself, and 1/4 already being factored out above). I add those numbers to what each person still owes me based on the calculations above and get this:

I pay the cable bill, $48.85
Melissa owes me rent + $8.11
Taylor owes me rent + $9.46
Colleen owes me rent + $7.21


Yes? No?...
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Old 04-23-2006, 10:22 PM   #7
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Aren't I so helpful?
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Old 04-23-2006, 10:22 PM   #8
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Quote:
Originally posted by LivLuvAndBootlegMusic
But I didn't post my answers yet
Oh, sorry, I thought you were talking about what you'd already posted
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Old 04-23-2006, 10:25 PM   #9
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Quote:
Originally posted by Got Philk?


Aren't I so helpful?
So, does this mean I get to manage our money?
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Old 04-23-2006, 10:27 PM   #10
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first of all , how the hell do you spend $20 on trash bags?

ok, each person owes a total of $22.04
just have everyone take out what they have already spent and give you the balance for the cable bill.
Melissa- $13.74
Taylor- $11.04
Colleen-$2.04
total $26.82

than you put in $22.03 towards the cable (you save a penny for your troubles)



ETA: ok, so I'm like 20 minutes late with an answer!
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Old 04-23-2006, 10:36 PM   #11
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Quote:
Originally posted by LivLuvAndBootlegMusic
But, we want it done so no more money has to change hands except whatever is left of the cable bill that they owe me.

This is what I did, please tell me if it makes sense:

So, with the cable bill in mind, everyone owes me $12.21. What I did first was basically pay everyone else back 3/4 the amount they paid (because 1/4 they have to pay for themselves) by subtracting that from the amount they owe me, so Melissa still owes me $3.91, Taylor still owes me $3.96, and I still owe Colleen $2.79.

Now, we're splitting everything by four because there's four people. So, since I paid everyone back in full, I'm still owed 2/4 for each of their supplies (1/4 being what I owe myself, and 1/4 already being factored out above). I add those numbers to what each person still owes me based on the calculations above and get this:

I pay the cable bill, $48.85
Melissa owes me rent + $8.11
Taylor owes me rent + $9.46
Colleen owes me rent + $7.21


Yes? No?...
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Old 04-23-2006, 10:38 PM   #12
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Quote:
Originally posted by pattip2000
first of all , how the hell do you spend $20 on trash bags?

ok, each person owes a total of $22.04
just have everyone take out what they have already spent and give you the balance for the cable bill.
Melissa- $13.74
Taylor- $11.04
Colleen-$2.04
total $26.82

than you put in $22.03 towards the cable (you save a penny for your troubles)

ETA: ok, so I'm like 20 minutes late with an answer!
20 = kitchen trash bags (we buy them like 3 times a year), and city trash bags ($12.75 for 10)

But if each person simply takes out what they spent from my cable bill, that means I'm paying for everything.

I have to pay the cable bill in full because all utilities and rent are in my name, so it's a question of who pays me what based on what they specifically paid and what we all owe each other.
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Old 04-23-2006, 10:44 PM   #13
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you aren't paying the whole cable bill you only end up paying $22.03 out of your pocket, the rest is paid from what they paid you.

if you add up the total about of the bills you have listed, bags, paper towels, toilet paper and cable bill the total is $88.15 divide that by 4 each person owes $22.04.
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Old 04-23-2006, 10:51 PM   #14
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Melissa pays $8.30(for tp) + $13.74(for cable) = $22.04
Taylor pays $11 (for paper towels)+$11.04 (for cable) = $22.04
Colleen $20 ( for trash bags) + $2.04 (for cable) = $22.04
You pay $22.03 (to cable)

The end result is that each person owes $22.04 and pays a total of $22.04
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Old 04-23-2006, 11:06 PM   #15
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Quote:
Originally posted by pattip2000
you aren't paying the whole cable bill you only end up paying $22.03 out of your pocket, the rest is paid from what they paid you.

if you add up the total about of the bills you have listed, bags, paper towels, toilet paper and cable bill the total is $88.15 divide that by 4 each person owes $22.04.
Yeah, I see what you mean, but the problem with this is that the three of them already paid for those things so before we even begin to calculate how it works out, there is already an uneven distribution of who owes what and who is owed what. So, I end up paying the $22.04 give or take a penny out of my pocket, but not everyone owes me the same amount of money.
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