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Dimitri weighs x pounds more than Allen weighs. Together, Allen and Di
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Bunuel
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Dimitri weighs x pounds more than Allen weighs. Together, Allen and Di [#permalink] New post  31 Mar 2015, 04:54
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A
B
C
D
E

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25% (medium)

Question Stats:

79% (01:02) correct 21% (01:30) wrong based on 106 sessions

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Dimitri weighs x pounds more than Allen weighs. Together, Allen and Dimitri weigh a total of y pounds. Which of the following represents Allen’s weight?

A. y - x/2
B. 2x - y/2
C. (y - x)/2
D. y - 2x
E. 2x - y


Kudos for a correct solution.
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gmatgrl
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Re: Dimitri weighs x pounds more than Allen weighs. Together, Allen and Di [#permalink] New post  31 Mar 2015, 05:16
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d - a = x
d + a = y

-2a = x - y

a = (y-x)/2

So, C.
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Re: Dimitri weighs x pounds more than Allen weighs. Together, Allen and Di [#permalink] New post  31 Mar 2015, 08:14
Bunuel wrote:
Dimitri weighs x pounds more than Allen weighs. Together, Allen and Dimitri weigh a total of y pounds. Which of the following represents Allen’s weight?

A. y - x/2
B. 2x - y/2
C. (y - x)/2
D. y - 2x
E. 2x - y


Kudos for a correct solution.



D=A+x...(1)
D+A=y...(2)

Substituting (1) in (2)
A+x+A=y
A=\(\frac{(y-x)}{2}\)
Answer: C
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Re: Dimitri weighs x pounds more than Allen weighs. Together, Allen and Di [#permalink] New post  31 Mar 2015, 09:11
1
Kudos
Bunuel wrote:
Dimitri weighs x pounds more than Allen weighs. Together, Allen and Dimitri weigh a total of y pounds. Which of the following represents Allen’s weight?

A. y - x/2
B. 2x - y/2
C. (y - x)/2
D. y - 2x
E. 2x - y


Kudos for a correct solution.



D=A+x so , D-A=X
A+D=Y

Add above 2 equations ,
2D=X+Y , put D=A+X here
So ,
2(A+X) = X+Y
2A+2X=X+Y
so A=(Y-X)/2
Answer is C
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OptimusPrepJanielle
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Re: Dimitri weighs x pounds more than Allen weighs. Together, Allen and Di [#permalink] New post  31 Mar 2015, 09:55
Expert Reply
Bunuel wrote:
Dimitri weighs x pounds more than Allen weighs. Together, Allen and Dimitri weigh a total of y pounds. Which of the following represents Allen’s weight?

A. y - x/2
B. 2x - y/2
C. (y - x)/2
D. y - 2x
E. 2x - y


Kudos for a correct solution.


Let weight of Allen = a
So, weight of Dimitri = x + a
Also, a + (x+a) = y
So, 2a + x = y
So, a = (y-x)/2
Hence option (C).

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Re: Dimitri weighs x pounds more than Allen weighs. Together, Allen and Di [#permalink] New post  31 Mar 2015, 19:54
1
Kudos
Bunuel wrote:
Dimitri weighs x pounds more than Allen weighs. Together, Allen and Dimitri weigh a total of y pounds. Which of the following represents Allen’s weight?

A. y - x/2
B. 2x - y/2
C. (y - x)/2
D. y - 2x
E. 2x - y


Kudos for a correct solution.



statement 1. Dimitri weighs x pounds more than Allen weighs . D= A +x
D - Dimitri weighs
A - Allen weighs
Statement 2: Allen and Dimitri weigh a total of y pounds . A + D = y
or A = y-D
From 1 & 2
A= y - A-x
or
A = (y-x)/2
C
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Re: Dimitri weighs x pounds more than Allen weighs. Together, Allen and Di [#permalink] New post  01 Apr 2015, 19:34
1
Kudos
Answer = C. (y - x)/2

Let weight of Allen = a

Refer table below:

Allen ............................. Dimitri ......................... Total

a ................................... a+x ............................... y

y = 2a+x

\(a = \frac{y-x}{2}\)
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Re: Dimitri weighs x pounds more than Allen weighs. Together, Allen and Di [#permalink] New post  01 Apr 2015, 21:00
D=X+A equation 1
A+D=Y equation 2

from equation 1 &2, 2A=Y-X there fore A = (Y-X)/2
Answer is C

Thanks,
Lipsi
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Re: Dimitri weighs x pounds more than Allen weighs. Together, Allen and Di [#permalink] New post  02 Apr 2015, 21:44
1
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Expert Reply
Hi All,

These type of multi-variable story problems are usually perfect for TESTing VALUES.

Here, we're told that Dimitri weighs X pounds more than Allen weighs and that they weight a combined TOTAL of Y pounds.

IF....
Dimitri = 30
Allen = 20
X = 10
Y = 50

We're asked for Allen's weight, so we're looking for an answer that equals 20 when X = 10 and Y = 50.

Answer A: 50 - (10/2) = 45 NOT a match
Answer B: 20 - (50/2) = -5 NOT a match
Answer C: (50-10)/2 = 20 This IS a match
Answer D: 50 - 20 = 30 NOT a match
Answer E: 20 - 50 = -30 NOT a match

Final Answer:
Show Spoiler
C


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Re: Dimitri weighs x pounds more than Allen weighs. Together, Allen and Di [#permalink] New post  02 Apr 2015, 23:33
1
Kudos
Bunuel wrote:
Dimitri weighs x pounds more than Allen weighs. Together, Allen and Dimitri weigh a total of y pounds. Which of the following represents Allen’s weight?

A. y - x/2
B. 2x - y/2
C. (y - x)/2
D. y - 2x
E. 2x - y


Kudos for a correct solution.


Answer=C

A's weight=z
D's weight=z+x
Total weight=x+2z=y
Therefore, z= (y-x/2)
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Bunuel
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Joined: 02 Sep 2009
Posts: 75016
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Re: Dimitri weighs x pounds more than Allen weighs. Together, Allen and Di [#permalink] New post  06 Apr 2015, 04:54
Expert Reply
Bunuel wrote:
Dimitri weighs x pounds more than Allen weighs. Together, Allen and Dimitri weigh a total of y pounds. Which of the following represents Allen’s weight?

A. y - x/2
B. 2x - y/2
C. (y - x)/2
D. y - 2x
E. 2x - y


Kudos for a correct solution.


MAGOOSH OFFICIAL SOLUTION:
Attachment:
dimitri_explanation.png
dimitri_explanation.png [ 36.61 KiB | Viewed 2998 times ]

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Posting Rules: QUANTITATIVE | VERBAL. Guides and Resources: QUANTITATIVE | VERBAL | Ultimate GMAT Quantitative Megathread | All You Need for Quant

Questions' Banks and Collection:
PS: Standard deviation | Tough Problem Solving Questions With Solutions | Probability and Combinations Questions With Solutions | Tough and tricky exponents and roots questions | 12 Easy Pieces (or not?) | Bakers' Dozen | Algebra set | Mixed Questions | Fresh Meat
DS: DS Standard deviation | Inequalities | 700+ GMAT Data Sufficiency Questions With Explanations | Tough and tricky exponents and roots questions | The Discreet Charm of the DS | Devil's Dozen!!! | Number Properties set | New DS set
MIXED: GMAT Club's Complete Questions' Bank | SEVEN SAMURAI OF 2012 | Tricky questions from previous years. | Special Questions' Directory | Best Of The Best Of 2017 | The Best Of Quant of 2016 | 20 hardest and 20 best questions of 2015 | 15 best topics of 2015 | Seven Samurai of 2012 | GMAT Probability Questions

What are GMAT Club Tests?
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Re: Dimitri weighs x pounds more than Allen weighs. Together, Allen and Di [#permalink]
06 Apr 2015, 04:54
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