View Full Version : the TRU Buy 2 get 1 deal...(mathmaticians, help :D)
Gigamaster89
10-25-2005, 09:26 PM
Say me and my friends wanted to split it up...
Person 1 takes a $50 game
Person 2 takes a $40 game.
Person 3 takes a $40 game.
How would we divide this so that each person pays what they owe?
greendj27
10-25-2005, 09:29 PM
Then I realized one thing...the person who is getting the $50 game is making the other 2 pay more...which is unfair o.0
No he isn't. They are all getting the same percentage off of their games.
Well, you're going to pay $90 and get on of the $40 games free. $90 divided by 3 is $30, but are you saying you want each person to pay relative to the full price of their game? Because that's just weird.
Gigamaster89
10-25-2005, 09:34 PM
RedvsBlue - I HIGHLY doubt that adds up.
BIG5 - Makes sense, doesn't it?
efmchico
10-25-2005, 09:35 PM
36.66
26.67
26.67
is about what was paid for each game...
If you want to divide the totat cost evenly between the 3 of you, yes. But if you think the person getting the $50 game should pay more because they are getting a more expensive game, that complicates things and I'm not sure how to do the math.
nelsed
10-25-2005, 09:38 PM
Actually -- the 50 dollar game person should pay 34.62...
while the two 40 dollar people should pay 27.69...
Of course this is assuming you purchase the games in Oregon and don't have sales tax... =)
munch
10-25-2005, 09:39 PM
36.66
26.67
26.67
is about what was paid for each game...
how did you figure that out? and, OP, if you're going to be nit-picky you need to add tax.
judyjudyjudy
10-25-2005, 09:40 PM
Actually -- the 50 dollar game person should pay 34.62...
while the two 40 dollar people should pay 27.69...
Of course this is assuming you purchase the games in Oregon and don't have sales tax... =)
That's what I got too.
Gigamaster89
10-25-2005, 09:41 PM
nelsed - how did you come up with that?
And I can add the tax at the end because it would be the same amount regardless.
RedvsBlue
10-25-2005, 09:41 PM
RedvsBlue - I HIGHLY doubt that adds up.
Huh? I have no idea what your talking about. :-\"
judyjudyjudy
10-25-2005, 09:46 PM
50 + 40 + 40 = 130
50/130 = 5/13
40/130 = 4/13
50 + 40 + 0 (free game) = 90
5/13 * 90 = 34.62
4/13 * 90 = 27.69
archyteckie08
10-25-2005, 09:49 PM
36.66
26.67
26.67
is about what was paid for each game...
This is what I got more or less.
If all three wanted a $40 game, they would split $80 into $26.67. Since the Person no. 1, in this case wants a $50 game he/she pays $36.66, $9.99 more, while the others pay $26.67 each.Since, Person number 1 wants a game more expensive than the others. It's his/her's responsiblity to pay the difference and that fee should not be divided by the others. The other solutions on this thread, buffers the extra cost with others paying $1 or so more than they should and $50 buck person pays $3 or so less than they should.This doesn't make sense, because Toys R US will make darn sure, that you will not get the $50 game for free.
The tax problem can be easily solved by just multiplying their shares each individually, by whatever their state's tax percentage is. For instance 7% state tax, would mean $36.66(.07) = Tax for Person 1, $26.67(.07) = Tax for Person 2 and 3.
Overall, Person 1 will save $13.34 and the other two will save $13.33.
Gigamaster89
10-25-2005, 09:49 PM
Why didn't I think of that :D
raregamergirl
10-25-2005, 09:50 PM
Having each person pay relative to the value of the game makes it slightly more confusing, but not too bad. here is how it breaks down
5/13 of $90 is $34.62 plus tax. the person with the $50 game recieved 5/13 of the merchandise so should pay this amount
4/13 of $90 (per $40 game) is $27.69 so each person paying for the $40 game should pay this amount plus tax.
Reality's Fringe
10-25-2005, 09:55 PM
You should pay according to the value you put on the game. Your consumer surplus means nothing to me!
omicron
10-25-2005, 10:00 PM
50x + 40x + 40x = 90
x = 0.6923076
50x = 34.62
40x = 27.69
40x = 27.69
RedvsBlue
10-25-2005, 10:02 PM
50x + 40x + 40x = 90
x = 0.6923076
50x = 34.62
40x = 27.69
40x = 27.69
Yes, that is an algabraeic representation of the exact same thing JudyJudyJudy said.
Gigamaster89
10-25-2005, 11:02 PM
Then I realized one thing...the person who is getting the $50 game is making the other 2 pay more...which is unfair o.0
iflabs
10-25-2005, 11:06 PM
Yes, in essence alll you're doing is taking a ratio. I was trying to figure out the other day how to divide the games to fair prices and the bulb finally clicked......
FriskyTanuki
10-26-2005, 09:51 AM
Then I realized one thing...the person who is getting the $50 game is making the other 2 pay more...which is unfair o.0
How so? All three would be roughly paying 70% of their game's original value with the $50 game saving $16 and the $40 game saving $13.
Gigamaster89
10-26-2005, 03:32 PM
Well it's not more by much but TECHNICALLY, if 3 person were buying a $40 game, per person would be less then say 40/40/50.
judyjudyjudy
10-26-2005, 05:14 PM
Well it's not more by much but TECHNICALLY, if 3 person were buying a $40 game, per person would be less then say 40/40/50.
I see what you mean, since the ratio of total savings to total cost would be smaller (or something like that). If you're concerned about that, then you would have to go with efmchico's route. I would still evenly divide the savings tho, since there would be no savings if someone didn't buy the third $50 game.
dopa345
10-26-2005, 05:21 PM
I also agree with a $34.62, $27.69, $27.69 split.
Kayden
10-26-2005, 05:45 PM
I thought you had to buy games from the same teir of pricing anyways....
FriskyTanuki
10-26-2005, 07:13 PM
I thought you had to buy games from the same teir of pricing anyways....
That's if you're ordering online. ;)