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Subject:
Simple Math Problem
Category: Business and Money > Finance Asked by: johnsoda24-ga List Price: $3.00 |
Posted:
05 Apr 2006 14:18 PDT
Expires: 05 May 2006 14:18 PDT Question ID: 715855 |
I need to rent a house and split the cost between 7 people - but not equally. The cost of the house is $957.00 for three nights. Three of the seven people will be staying in the house for three nights. Four of the seven people will be staying in the house for only two nights. So, the three people staying for three nights should pay more than the four people who are staying only two nights. My question is... how much money should the people staying for three nights pay and how much should the people staying for four nights pay? In addition to the total cost for each person, I need an explanation of the way you computed it so I can explain it to my friends so they will believe me. Thanks. | |
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Subject:
Re: Simple Math Problem
Answered By: rainbow-ga on 07 Apr 2006 13:54 PDT Rated: |
Hi johnsoda24, I believe rracecarr-ga has got the right idea. Look at it this way: People Night 1 Night 2 Night 3 1 X X X 2 X X X 3 X X X 4 X X 5 X X 6 X X 7 X X Three people (numbers 1, 2 and the 3 in the diagram) are staying 3 nights. Four people (numbers 4, 5, 6 and 7) are staying 2 nights. Since there are 17 people-nights (count the X's), each person would pay 957/17 which equals to approximately $56.29 per night. Therefore the 3 people staying 3 nights would pay 56.29x3=$168.87 each. And the 4 people staying only 2 nights would pay 56.29x2=$112.58 each. To check the math: 168.87x3=$506.61 112.58x4=$450.32 506.61+450.32=$956.93. I'm sure one person would be willing to pay the difference of 7 cents. :-) I hope this explanation is helpful. If you have any questions regarding my answer please don't hesitate to ask before rating. Best regards, Rainbow |
johnsoda24-ga rated this answer: |
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Subject:
Re: Simple Math Problem
From: frankcorrao-ga on 05 Apr 2006 14:25 PDT |
957 over 3 nights is 319 per night. On nights 1 and 2, each person pays 319/7 = 45.57 On night 3, the 3 people who stay pay 319/3 = 106.33 Therefore the 4 people who stay 2 nights pay 91.14 The 3 people who stay 3 nights pay 197.47. As a sanity check that is: 4(91.17) + 3(197.47) = 957 |
Subject:
Re: Simple Math Problem
From: rracecarr-ga on 05 Apr 2006 14:58 PDT |
Or, since there are 17 people-nights, each person could pay 957/17, or about $56.29, for each night they stay. That would be $112.59 for the 2-nighters and $168.88 for the 3-nighters. |
Subject:
Re: Simple Math Problem
From: marksullivan-ga on 05 Apr 2006 15:05 PDT |
I was just going to post the same people-night suggestion but rracecar beat me to it. However, I would like to add that this solution has the property that everyone pays the same price per night. That is, the people who stay 3 nights pay 1 and a half times what the two night people pay. Although I guess you could argue that the house is worth more when there are less people in it, because it is less crowded and you get a bigger share of the common areas. But it probably isn't worth over twice as much. And you thought this was a simple problem. |
Subject:
Re: Simple Math Problem
From: markvmd-ga on 05 Apr 2006 19:21 PDT |
I wanna know how the people staying four nights in a house rented for three nights are gonna their bit. |
Subject:
Re: Simple Math Problem
From: johnsoda24-ga on 07 Apr 2006 12:50 PDT |
racecar, can you explain how you came up with 17 people-nights? 7 people X 3 nights = 21. I guess I don't understand? Also, do you agree with frankcorrao-ga's answer? Thanks. |
Subject:
Re: Simple Math Problem
From: johnsoda24-ga on 07 Apr 2006 12:55 PDT |
thanks everyone for your comments. if someone could give me a definitive answer i would really appreciate it. i can't decide which calculation is correct. Thanks again. |
Subject:
Re: Simple Math Problem
From: myoarin-ga on 07 Apr 2006 16:57 PDT |
Johnsoda, Why wasn't that a five star answer? Sometimes here, one gets the impression that there are people who are bothered by the fact that the answer to their question was something they could have figured out themselves and downgrade a perfect answer, perhaps on the principle: "Geez, I could have figured that out. If it is that simple, the answer isn't worth five stars." I don't know if that was your thought, but a correct and complete answer deserves five stars. Myoarin Have a good time, wherever. |
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