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Benjamin-T

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#1 Benjamin-T
Member since 2006 • 1029 Posts

A merchant is trying to cross a 1000 mile desert to deliver 3000 bananas. He will do it with a camel, who can only carry up to 1000 bananas. Moreover, the camel has to eat 1 banana each mile. What's the maximum ammount of bananas the camel can deliver?

I got up to 500, but I heard it can be higher.

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super_mario_128

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#2 super_mario_128
Member since 2006 • 23884 Posts
Wouldn't it be 1? Nah, that's just too obvious an answer. :P
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MetalGear_Ninty

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#3 MetalGear_Ninty
Member since 2008 • 6337 Posts
It depends if there are any banana stations on the way there. :P
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Anti-Venom

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#4 Anti-Venom
Member since 2008 • 5646 Posts
im gonna go with 987986986986
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Teenaged

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#5 Teenaged
Member since 2007 • 31764 Posts
Isn't it 0?
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Jackboot343

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#6 Jackboot343
Member since 2007 • 2574 Posts

none? i'm bad with word problems and math in general though :(

how did you get 500?

1000 miles 1000 bananas

1 banana per mile = no bananas left right?

this is a ridiculous question :P

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playstationboy7

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#7 playstationboy7
Member since 2008 • 756 Posts
1000?
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PS2_ROCKS

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#8 PS2_ROCKS
Member since 2003 • 4679 Posts
Well all of them provided the camel doesn't stop for any poo breaks.
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194197844077667059316682358889

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#9 194197844077667059316682358889
Member since 2003 • 49173 Posts
How many bananas does he have at the source location? If there's no limit on that, then he can get arbitrarily many there by moving them out in increments, depositing a number of bananas in the desert and returning
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Dr_Brocoli

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#10 Dr_Brocoli
Member since 2007 • 3724 Posts
seriously... who uses the imperial system? That is soooo dead! Only THREE countries use it as their main system. Everyone else uses metric system which has logic to it and makes sooo much more sense and itsnt annoying.
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SSBFan12

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#11 SSBFan12
Member since 2008 • 11981 Posts
[QUOTE="Benjamin-T"]

A merchant is trying to cross a 1000 mile desert to deliver some bananas. He will do it with a camel, who can only carry up to 1000 bananas. Moreover, the camel has to eat 1 banana each mile. What's the maximum ammount of bananas the camel can deliver?

I got up to 500, but I heard it can be higher.

Do your own homework.
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Benjamin-T

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#12 Benjamin-T
Member since 2006 • 1029 Posts

none? i'm bad with word problems and math in general though :(

how did you get 500?

1000 miles 1000 bananas

1 banana per mile = no bananas left right?

this is a ridiculous question :P

Jackboot343

Don't be so quick to dismiss the question.

Draw a diagram if you want. What I did was put the camel to carry 1000 bananas, and carry it 250 miles. Put 500 bananas in the ground, pick up 1000 more, and repeat the process. In the first checkpoint, he has a total of 1.5k bananas. Do it again for another 250 miles, and he's left with 1000 bananas. Then walk the rest of the 500 miles, and 500 bananas. Voila!

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Benjamin-T

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#14 Benjamin-T
Member since 2006 • 1029 Posts
How many bananas does he have at the source location? If there's no limit on that, then he can get arbitrarily many there by moving them out in increments, depositing a number of bananas in the desert and returningxaos
Oops, sorry bout that. 3000 bananas at the start
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DJ_Lae

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#15 DJ_Lae
Member since 2002 • 42748 Posts
Is that the full question? I get the sense that something's missing. I mean, we've got the distance, the carrying capacity, and the consumption, but where exactly are the bananas located? If there are none in the desert (which we would expect) obviously the camel is going to consume every last banana it's carrying.
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DJ_Lae

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#16 DJ_Lae
Member since 2002 • 42748 Posts
Oops, sorry bout that. 3000 bananas at the startBenjamin-T
Wouldn't it just be 3000 bananas - 1000 miles * (1 banana/mile) = 2000 bananas? Seems too easy. Unless the merchant is gobbling them down too, but that's not mentioned.
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Jackboot343

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#17 Jackboot343
Member since 2007 • 2574 Posts

[QUOTE="Benjamin-T"]Oops, sorry bout that. 3000 bananas at the startDJ_Lae
Wouldn't it just be 3000 bananas - 1000 miles * (1 banana/mile) = 2000 bananas? Seems too easy. Unless the merchant is gobbling them down too, but that's not mentioned.

camel can only carry 1000 at a time though

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deactivated-5fc39ee132cf4

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#18 deactivated-5fc39ee132cf4
Member since 2006 • 2465 Posts

1000...............the camel will have to be cut open though....

Edit: all 3000

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Benjamin-T

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#19 Benjamin-T
Member since 2006 • 1029 Posts
[QUOTE="Benjamin-T"]Oops, sorry bout that. 3000 bananas at the startDJ_Lae
Wouldn't it just be 3000 bananas - 1000 miles * (1 banana/mile) = 2000 bananas? Seems too easy. Unless the merchant is gobbling them down too, but that's not mentioned.

He can only carry up to 1000 bananas
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MetalGear_Ninty

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#20 MetalGear_Ninty
Member since 2008 • 6337 Posts
[QUOTE="Benjamin-T"][QUOTE="Jackboot343"]

none? i'm bad with word problems and math in general though :(

how did you get 500?

1000 miles 1000 bananas

1 banana per mile = no bananas left right?

this is a ridiculous question :P

Don't be so quick to dismiss the question.

Draw a diagram if you want. What I did was put the camel to carry 1000 bananas, and carry it 250 miles. Put 500 bananas in the ground, pick up 1000 more, and repeat the process. In the first checkpoint, he has a total of 1.5k bananas. Do it again for another 250 miles, and he's left with 1000 bananas. Then walk the rest of the 500 miles, and 500 bananas. Voila!

Well the camel is not delivering the bananas the human is, which begs the question, why didn't the human just carry all 1000 bananas to begin with?
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DJ_Lae

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#21 DJ_Lae
Member since 2002 • 42748 Posts

camel can only carry 1000 at a time though

Jackboot343
Oh yeah. I guess he can keep bringing loads in the center of the desert, feeding the camel to carry them there. So one load of 500 one quarter of the way in, consuming 500 bananas. That's 1500 when all is said and done. But when you do it again to get halfway across the desert, you've got 750, and traveling the rest of the 500 miles nets you 250 delivered. I should probably draw it out. Seems pretty inefficient.
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Treflis

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#22 Treflis
Member since 2004 • 13757 Posts
Zero, because if it can carry 1000 units, but consumes 1 unit of each mile over the 1000 miles then there will be none left.
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DJ_Lae

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#23 DJ_Lae
Member since 2002 • 42748 Posts
My bad, I added one extra round trip at the beginning. Filling to capacity and carrying bananas to the 250 mile mark results in two loads of 500 and one final load of 750. That's 1750 bananas total. Filling to capacity again and moving to the midpoint results in one 500 load and one 500 load. That's 1000 bananas for the final 500 miles, ending up with 500 bananas delivered after the camel has stuffed his craw.
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kyleali11

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#24 kyleali11
Member since 2006 • 11820 Posts
1000. Also he wouldn't be able to go back and get the other 2000 because the camel doesn't have any bananas for the trip back.
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Benjamin-T

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#25 Benjamin-T
Member since 2006 • 1029 Posts
1000. Also he wouldn't be able to go back and get the other 2000 because the camel doesn't have any bananas for the trip back.kyleali11
How did you come up with that answer?
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gloomy_druid

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#26 gloomy_druid
Member since 2009 • 80 Posts
1000. Also he wouldn't be able to go back and get the other 2000 because the camel doesn't have any bananas for the trip back.kyleali11
Yeah, how did you get that? You forgot that the camel needs to eat one each mile..
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gloomy_druid

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#27 gloomy_druid
Member since 2009 • 80 Posts
Oh yeah, 500 is the wrong answer.
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Benjamin-T

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#28 Benjamin-T
Member since 2006 • 1029 Posts
I know is the wrong answer, but that's the highest I got. Can you get it higher?
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gloomy_druid

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#29 gloomy_druid
Member since 2009 • 80 Posts

250 is the highest I got. What I meant was that there was a silly mistake in your method.

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JigglyWiggly_

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#30 JigglyWiggly_
Member since 2009 • 24625 Posts
infinite or 3000 it depends if the camel eats one when it actually reaches the 1000mile mark.
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Benjamin-T

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#31 Benjamin-T
Member since 2006 • 1029 Posts

250 is the highest I got. What I meant was that there was a silly mistake in your method.

gloomy_druid

2000------500 (0 to 250 miles)

1000-------1000

0----------1500

500-------1000 (250 miles to 500)

0-----500 (500 to home)

Where's the mistake?

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kyleali11

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#32 kyleali11
Member since 2006 • 11820 Posts

Moreover, the camel has to eat 1 banana each mile.

(The camel starts at point Alpha with 3000 bananas, and leaves (to Beta) with 1000 (leaving 2000 at point alpha). Once he reaches point Beta, he will have no bananas left(because he eats 1 per mile)! So the camel currently has 0 bananas and is at point Beta. If the camel has 0, but needs 1000 bananas to travel from Beta to Alpha(or Alpha to Beta), how is he going to get back to Alpha(Where the other 2000 are.)?

What's the maximum ammount of bananas the camel can deliver?

In general the camel can deliver 1000 bananas to a place within a 1 mile range.

I got up to 500, but I heard it can be higher.

Benjamin-T

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gloomy_druid

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#33 gloomy_druid
Member since 2009 • 80 Posts
[QUOTE="gloomy_druid"]

250 is the highest I got. What I meant was that there was a silly mistake in your method.

Benjamin-T

2000------500 (0 to 250 miles)

1000-------1000

0----------1500

500-------1000 (250 miles to 500)

0-----500 (500 to home)

Where's the mistake?

At the 250-mile checkpoint, he has a total of 1.5k bananas. At the 500-mile checkpoint, you said that he has a total of 1000 bananas. But I calculated 750 bananas. Therefore, with those 750 bananas, he can travel the remaining 500 miles and deliver 250 bananas.
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Benjamin-T

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#34 Benjamin-T
Member since 2006 • 1029 Posts
Oh, you're right, that was an error on my part. thanks
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DJ_Lae

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#35 DJ_Lae
Member since 2002 • 42748 Posts
At the 250-mile checkpoint, he has a total of 1.5k bananas. At the 500-mile checkpoint, you said that he has a total of 1000 bananas. But I calculated 750 bananas. Therefore, with those 750 bananas, he can travel the remaining 500 miles and deliver 250 bananas.gloomy_druid
He's got 1750 bananas at the 250 mile checkpoint - that's the same error I made the first time. For the first two trips, he has to travel to the 250 mile spot and back again to grab the next load - the third time he doesn't have to go back, so the camel only consumes 250 of the 1000 bananas, leaving 750 + 500 + 500. The same thing happens at the midway point, except he's dropped off one load of 500 and spent only 250 bananas from the smaller 750 second load as he doesn't have to travel back again, giving him a thousand for the final 500 mile journey. I've tried making a few formulas in Excel but I can't see how it could be higher than 500.
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Omega_Zero69

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#36 Omega_Zero69
Member since 2006 • 13668 Posts
isnt only 500
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chessmaster1989

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#37 chessmaster1989
Member since 2008 • 30203 Posts
I am not pleased :evil:
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#38 gloomy_druid
Member since 2009 • 80 Posts

[QUOTE="gloomy_druid"]At the 250-mile checkpoint, he has a total of 1.5k bananas. At the 500-mile checkpoint, you said that he has a total of 1000 bananas. But I calculated 750 bananas. Therefore, with those 750 bananas, he can travel the remaining 500 miles and deliver 250 bananas.DJ_Lae
He's got 1750 bananas at the 250 mile checkpoint - that's the same error I made the first time. For the first two trips, he has to travel to the 250 mile spot and back again to grab the next load - the third time he doesn't have to go back, so the camel only consumes 250 of the 1000 bananas, leaving 750 + 500 + 500. The same thing happens at the midway point, except he's dropped off one load of 500 and spent only 250 bananas from the smaller 750 second load as he doesn't have to travel back again, giving him a thousand for the final 500 mile journey. I've tried making a few formulas in Excel but I can't see how it could be higher than 500.

What? If he doesn't go back the third time, that leaves him only 1250 bananas.

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DJ_Lae

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#39 DJ_Lae
Member since 2002 • 42748 Posts

What? If he doesn't go back the third time, that leaves him only 1250 bananas.

gloomy_druid
Maybe I've looked at it too long. I get three trips, all starting as full 1000 banana loads. The first two cost 250 bananas to get there and 250 to get back. Each of those loads results in 500 bananas at the quarter marker. 1000 total. The third load also starts with 1000 but it only costs 250 bananas to get there, giving him 750 more. So 1750.
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Helbrec

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#40 Helbrec
Member since 2008 • 1325 Posts
0, if he has to traverse 1000miles and he can only carry 1000 bananas the Camel would eat one every mile and he would arrive empty handed.
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ghoklebutter

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#41 ghoklebutter
Member since 2007 • 19327 Posts

I've got a math problem!

A system of equations!

20000x+3600y=-234

123x+2y^2=16

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OblivionGuy07

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#42 OblivionGuy07
Member since 2006 • 7546 Posts
none... the camel would only be able to get there once, too. 2000 would be left at the starting point, and if it's 1000 miles and the camel eats 1 per mile carrying a maximum of 1000 then there wouldn't be any when the camel made it.
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DJ_Lae

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#43 DJ_Lae
Member since 2002 • 42748 Posts
[QUOTE="ghoklebutter"]

I've got a math problem!

A system of equations!

20000x+3600y=-234

123x+2y^2=16

I get x=0.121215 and y=-0.73842 But I cheated, so I don't know if either of those are actual fractions.
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gloomy_druid

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#44 gloomy_druid
Member since 2009 • 80 Posts
I got 533 1/3.
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xmen1414

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#45 xmen1414
Member since 2006 • 1948 Posts
IDK if it is answered correct but i dont feel like reading the whole thing. Wouldn't it be unlimited until it dies?
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gloomy_druid

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#46 gloomy_druid
Member since 2009 • 80 Posts
Here's the details:

Start the camel out with 1000 bananas.

Walk to point A (200 miles) consuming 200 bananas.
You'll have 800 at this point. Drop 600 bananas here.
Now return 200 miles to the start eating your remaining bananas.
(A has 600 bananas)

Now retrieve another 1000 bananas from the start

Walk to the 200 mile mark consuming 200 bananas.
You'll have 800 at this point. Pick up 200 bananas to replenish back to 1000
(A has 400 bananas)

Continue on another 333 1/3 miles to point B (533 1/3 mile mark). Drop 333 1/3 bananas here and return to the 200 mile mark.
(B has 333 1/3 bananas)

Pick up 200 bananas to return to the start.
(A has 200 bananas)

Get a new batch of 1000 bananas.

Walk again to the 200 mile mark. You'll be at 800 but you can replenish to 1000.
(A has 0 bananas)

Walk again to the 533 1/3 mile mark. You'll be at 666 2/3, but then you can replenish with 333 1/3 to be back at 1000 bananas.
(B has 0 bananas, camel is at 533 1/3 mile mark with 1000 bananas).

Now walk the remaining 466 2/3 miles consuming 466 2/3 bananas, but leaving 533 1/3 bananas delivered to the other end.

Answer:
A maximum of 533 1/3 bananas can be delivered.
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xmen1414

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#47 xmen1414
Member since 2006 • 1948 Posts
[QUOTE="DJ_Lae"][QUOTE="ghoklebutter"]

I've got a math problem!

A system of equations!

20000x+3600y=-234

123x+2y^2=16

I get x=0.121215 and y=-0.73842 But I cheated, so I don't know if either of those are actual fractions.

your gonna make me do math! Its the last day of vacation though! I was really going to do it but im to lazy right now.
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HeatForLife

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#48 HeatForLife
Member since 2004 • 779 Posts
When you go back to get more bananas do you need bananas as gas for the camel or can the camel make it back without bananas? If he doesnt need banana as fuel then i got 600 bananas delivered. EDIT: Most i got was 666 bananas.
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demonslayer987

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#49 demonslayer987
Member since 2008 • 329 Posts
2000 bananas..