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# manhatten review question

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Manager
Status: GMAT Preperation
Joined: 04 Feb 2010
Posts: 105
Concentration: Social Entrepreneurship, Social Entrepreneurship
GPA: 3
WE: Consulting (Insurance)
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Kudos [?]: 10 [0], given: 15

manhatten review question [#permalink]  16 Sep 2010, 02:49
00:00

Difficulty:

5% (low)

Question Stats:

88% (02:12) correct 12% (02:43) wrong based on 26 sessions
The relationship btwen quantities m and n is expressed by the equation 11m=5(n-42). If the diffrence between the two chosan values of n is 30, what is the difference in the corresponding values of m ?
a) 30/11
b)42/11
c)60/11
d)150/11
e)14

Looking for the best way to ans?
[Reveal] Spoiler: OA
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Kudos [?]: 465 [2] , given: 25

Re: manhatten review question [#permalink]  16 Sep 2010, 02:55
2
KUDOS
say the sets of values are m1,n1 and m2,n2

11m1 = 5(n1-42)
11m2 = 5(n2-42)

Subtracting

11(m1-m2)=5(n1-n2)

So m1-m2 = (5*30)/11

OR if you are familiar with differential calculus, you can get from the equation straight away by differentiating that :

11 dm = 5 dn
and hence m = 150/11
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Manager
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WE 2: 3+ years - Product developement,
WE 3: 2+ years - Program management
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Kudos [?]: 155 [0], given: 104

Re: manhatten review question [#permalink]  16 Sep 2010, 04:46
Yup. thats the simplest way.
Manager
Joined: 04 Aug 2010
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Re: manhatten review question [#permalink]  16 Sep 2010, 09:44
shrouded1 wrote:
say the sets of values are m1,n1 and m2,n2
11m1 = 5(n1-42)
11m2 = 5(n2-42)
Subtracting
11(m1-m2)=5(n1-n2)
So m1-m2 = (5*30)/11

smart
i would never have thought of using differential eq'ns either. kudos.
Manager
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Re: manhatten review question [#permalink]  16 Sep 2010, 13:31
1
KUDOS
Another Simple way

11m=5(n-42)

Assume n = 42 to make one side equal to 0
then 11m=0
and m = 0

Repeat it by assuming n as 42+30 i.e 72
11m- 5(72-42)
11m=150
m=150/11

diff = 150/11 - 0 = 150/11
Re: manhatten review question   [#permalink] 16 Sep 2010, 13:31
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