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A group of 12 people plan to rent a van and agree to share equally the

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Bunuel
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A group of 12 people plan to rent a van and agree to share equally the [#permalink] New post   12 Nov 2015, 01:55
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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) (12-n)E/(12n)
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Re: A group of 12 people plan to rent a van and agree to share equally the [#permalink] New post   12 Nov 2015, 02:57
total cost =E
no of people willing to participate initially =12
initial cost for each =E/12
when n people decided not to participate
Cost for each =E/12-n
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Re: A group of 12 people plan to rent a van and agree to share equally the [#permalink] New post   12 Nov 2015, 03:07
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CounterSniper wrote:
total cost =E
no of people willing to participate initially =12
initial cost for each =E/12
when n people decided not to participate
Cost for each =E/12-n


So the increase = E/12 - E/(12-n) = nE/[12(12-n)]

D
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Re: A group of 12 people plan to rent a van and agree to share equally the [#permalink] New post   12 Nov 2015, 03:32
didnt read that ... Right :-D
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Re: A group of 12 people plan to rent a van and agree to share equally the [#permalink] New post   12 Nov 2015, 03:54
CounterSniper wrote:
didnt read that ... Right :-D

I guessed so too. Looked like the kinds of careless mistakes I made a lot :D
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Re: A group of 12 people plan to rent a van and agree to share equally the [#permalink] New post   12 Nov 2015, 13:40
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ufo9038 wrote:
CounterSniper wrote:
total cost =E
no of people willing to participate initially =12
initial cost for each =E/12
when n people decided not to participate
Cost for each =E/12-n


So the increase = E/12 - E/(12-n) = nE/[12(12-n)]

D


Can you elaborate?
The result will be a negative number.
IMO it should look opposite, i.e. E/(12-n) - E/12
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Re: A group of 12 people plan to rent a van and agree to share equally the [#permalink] New post   12 Nov 2015, 21:13
Yes you're right. Sorry I overlooked.
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Re: A group of 12 people plan to rent a van and agree to share equally the [#permalink] New post   13 Nov 2015, 00:18
Bunuel 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) (12-n)E/(12n)


Let E=120, cost per person= 120/12=10
Let n=10 so cost per person=120/2=60

Increase by 60-10=50

Substituting in Choice C 120/24=5 wrong

Substituting in Choice D = 10 *120/24=50 correct

Answer D
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Re: A group of 12 people plan to rent a van and agree to share equally the [#permalink] New post   23 Nov 2016, 08:29
Bunuel 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) (12-n)E/(12n)


easiest approach is to give values for E and n
say E = 120
n=2

so initially, it was supposed to be 120/12 = 10$/pers
2 people refused, now new cost is 120/10 = 12$/pers
increase = 2$/pers

A - 120/10 = 12 -> that is the new average, not the increase per person. out
B - 10/120 -> 1/12 - nope.
C - 120/120 = 1 - nope
D - 2*120/12*10 = 2 - hold
E - 10*120/24 = 50 - way too big

D must be the answer.
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Re: A group of 12 people plan to rent a van and agree to share equally the [#permalink] New post   02 Feb 2020, 05:44
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Bunuel 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) (12-n)E/(12n)


The old cost per person is E/12. The new cost per person is E/(12 - n). Therefore, the cost increase per person is:

E/(12 - n) - E/12

Getting the common denominator of 12(12 - n), we obtain:

12E / [12(12 - n)] - (12 - n)E / [12(12 - n)]

Combining the two fractions, we have:

(12E - 12E + nE) / [12(12 - n)]

nE / [12(12 - n)]

Answer: D
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Re: A group of 12 people plan to rent a van and agree to share equally the [#permalink] New post   15 Nov 2023, 04:39
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Re: A group of 12 people plan to rent a van and agree to share equally the [#permalink]
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