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# The relationship between quantities m and n is expressed by the equati

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The relationship between quantities m and n is expressed by the equati [#permalink]

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16 Sep 2010, 03:49
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Question Stats:

69% (02:47) correct 31% (01:51) wrong based on 260 sessions

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The relationship between quantities m and n is expressed by the equation 11m = 5(n - 42). If the difference between the two chosen 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

Source: Manhattan Review
[Reveal] Spoiler: OA

Last edited by Bunuel on 25 Sep 2014, 00:22, edited 1 time in total.
Renamed the topic, edited the question and added the OA.
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Re: The relationship between quantities m and n is expressed by the equati [#permalink]

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16 Sep 2010, 03:55
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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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Re: The relationship between quantities m and n is expressed by the equati [#permalink]

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16 Sep 2010, 05:46
Yup. thats the simplest way.
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Re: The relationship between quantities m and n is expressed by the equati [#permalink]

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16 Sep 2010, 10:44
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.
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Re: The relationship between quantities m and n is expressed by the equati [#permalink]

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16 Sep 2010, 14:31
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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
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Re: The relationship between quantities m and n is expressed by the equati [#permalink]

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24 Sep 2014, 19:39
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Re: The relationship between quantities m and n is expressed by the equati [#permalink]

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02 Oct 2014, 01:48
tiruraju wrote:
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

Did in the same way

Placing value of n = 42 makes the resultant zero

So, no need of subtraction after placing n = 72; results are direct
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Re: The relationship between quantities m and n is expressed by the equati [#permalink]

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17 Oct 2015, 09:18
Hello from the GMAT Club BumpBot!

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Re: The relationship between quantities m and n is expressed by the equati [#permalink]

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18 Oct 2015, 23:46
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Expert's post
Assume the values to be M1, M2 and N1, N2

11M1 = 5(N1-42) - (i)
11M2 = 5(N2-42) - (ii)

Subtracting (ii) from (i)

11(M1-M2)=5(N1-N2) - 42 + 42

Putting the value of N1 - N2 = 30
Hence, M1-M2 = (5*30)/11 = 150/11

Option D
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Re: The relationship between quantities m and n is expressed by the equati   [#permalink] 18 Oct 2015, 23:46
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