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Retired Moderator Joined: 07 Jun 2014
Posts: 4803
GRE 1: Q167 V156 WE: Business Development (Energy and Utilities)
Followers: 171

Kudos [?]: 2934 , given: 394

m + 2n = 10 and m is 50% of n [#permalink]
Expert's post 00:00

Question Stats: 55% (00:38) correct 44% (00:59) wrong based on 34 sessions
m + 2n = 10 and m is 50% of n

 Quantity A Quantity B $$m^2$$ $$n$$

A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
[Reveal] Spoiler: OA

_________________

Sandy
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Manager Joined: 26 Jan 2018
Posts: 189
GRE 1: Q165 V156 Followers: 1

Kudos [?]: 134 , given: 3

Re: m + 2n = 10 and m is 50% of n [#permalink]
m=n/2

m + 2n = 10

n/2+2n = 10

2.5n = 10

n=4

m + 2n = 10

m+8=10
m=2

m^2 = n =4
Hence C
GRE Instructor Joined: 10 Apr 2015
Posts: 3841
Followers: 149

Kudos [?]: 4513 , given: 69

Re: m + 2n = 10 and m is 50% of n [#permalink]
Expert's post
sandy wrote:
m + 2n = 10 and m is 50% of n

 Quantity A Quantity B $$m^2$$ $$n$$

A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.

This is a system of equations question in disguise

Given: m + 2n = 10

We're also told that m is 50% of n, which we can rewrite as m = 0.5n

So, we have the system....
m + 2n = 10
m = 0.5n
...which we can solve for m and n

If m = 0.5n, we can take m + 2n = 10 and replace m with 0.5n to get: 0.5n + 2n = 10
Simplify: 2.5n = 10
Solve: n = 4

Since n = 4 AND since m = 0.5n, we can conclude that m = 0.5(4) = 2

So, the solution to our system of equations is n = 4 and m = 2

So, our quantities become:
Quantity A: 2²
Quantity B: 4

Cheers,
Brent
_________________

Brent Hanneson – Creator of greenlighttestprep.com
If you enjoy my solutions, you'll like my GRE prep course.  Re: m + 2n = 10 and m is 50% of n   [#permalink] 23 May 2018, 09:41
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