A group of 12 people plan to rent a van and agree to share : PS Archive
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# A group of 12 people plan to rent a van and agree to share

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A group of 12 people plan to rent a van and agree to share [#permalink]

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22 Sep 2004, 12:39
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A group of 12 people plan to rent a van and agree to share equally the total cost of the rental, which is E dollars. If n of the people decide not to participate at the last minute, by how many dollars will each remaining person's share of the total cost increase?
A) E / (12-n)
B) (12-n) / E
C) E / [12(12-n)]
D) nE / [12(12-n)]
E) E(12-n) / 12n
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Paul

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22 Sep 2004, 12:58
i come up with D through substitution but i know most of you don't like to do that so...
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22 Sep 2004, 14:19
Paul wrote:
A group of 12 people plan to rent a van and agree to share equally the total cost of the rental, which is E dollars. If n of the people decide not to participate at the last minute, by how many dollars will each remaining person's share of the total cost increase?
A) E / (12-n)
B) (12-n) / E
C) E / [12(12-n)]
D) nE / [12(12-n)]
E) E(12-n) / 12n

D

Before per guy pays E/12 .... 1
After n leave per guy pays E/(12-n) .... 2
Hence inc = 2-1 = D
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22 Sep 2004, 14:50
OA is D

Alright, this may sound like a dumb question but I need to ask it
If you take n=6 and E=12, I could not get to the answer with D, can anybody explain?
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Paul

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22 Sep 2004, 15:06
Paul wrote:
OA is D

Alright, this may sound like a dumb question but I need to ask it
If you take n=6 and E=12, I could not get to the answer with D, can anybody explain?

e=15
N=12 n=6
Initial rental share per guy = 12/12 = 1
After 6 leave share per guy = 12/6= 2 .... inc = 1 ... A

D = nE / [12(12-n)] = 6*12/(12*(12-6)) = 1 = A
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22 Sep 2004, 16:16
Thx srijay, it is so straightforward but yet, I had 6*12/12*6 and I kept telling myself that was = 0 for some reason. It's just been a long day I guess...
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Paul

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22 Sep 2004, 17:08
Paul wrote:
Thx srijay, it is so straightforward but yet, I had 6*12/12*6 and I kept telling myself that was = 0 for some reason. It's just been a long day I guess...

I know how it feels Paul!
The same thing is happening with me in CRs .... I dont know what to do
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22 Sep 2004, 22:37
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Original amount per person = E/12

New amount = E/(12-n)

Increase = E/(12-n) - E/12 = En/12(12-n)

22 Sep 2004, 22:37
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