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Combined, Dylan and Bailey weigh 200 pounds. If 100 pounds more than D
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27 Sep 2022, 02:31
27 Sep 2022, 02:31
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Question Stats:
56% (01:38) correct
43% (02:05) wrong based on 16 sessions
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Combined, Dylan and Bailey weigh 200 pounds. If 100 pounds more than Dylan’s weight is three times Bailey’s weight, what is Dylan’s weight?
(A) 50
(B) 75
(C) 100
(D) 125
(E) 150
(A) 50
(B) 75
(C) 100
(D) 125
(E) 150
Part of the project: GRE QCQ & PS 3 Questions Every One DAILY Challenge - (2022) - Gain 20 Kudos & Get FREE Access to GRE Prep Club TESTS
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GRE Math Essentials (2022)
GRE Geometry Formulas
GRE - Math Book
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GRE Math Essentials (2022)
GRE Geometry Formulas
GRE - Math Book
Retired Moderator
Joined: 09 Nov 2021
Status:GRE Tutor London and Online
Affiliations: Private GMAT/GRE Tutor London
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Given Kudos: 6
Re: Combined, Dylan and Bailey weigh 200 pounds. If 100 pounds more than D
[#permalink]
27 Sep 2022, 06:52
27 Sep 2022, 06:52
1
Starting with d for Dylan and b for Bailey, we see this:
d + b = 200
Then, "100 pounds more than Dylan’s weight is three times Bailey’s weight" translates to:
100 + d = 3b
Rearrange the equations to put variables in the same position:
-3b + d = -100
Flip the signs here because we want to combine by eliminating the d:
3b - d = +100 --> now add this to the other equation:
d + b = 200
------------
4b = 300, or b = 75. This implies that d = 200 - b = 125. Answer D.
Alternatively, we could of course simply solve for d in the first place, which saves a line at the end. I've chosen to eliminate d because we have the d-values scaled to the same amount, whereas we have b and 3b. We would actually lose a line here trying to scale the b-values. Remember, it's about picking your battles.
d + b = 200
Then, "100 pounds more than Dylan’s weight is three times Bailey’s weight" translates to:
100 + d = 3b
Rearrange the equations to put variables in the same position:
-3b + d = -100
Flip the signs here because we want to combine by eliminating the d:
3b - d = +100 --> now add this to the other equation:
d + b = 200
------------
4b = 300, or b = 75. This implies that d = 200 - b = 125. Answer D.
Alternatively, we could of course simply solve for d in the first place, which saves a line at the end. I've chosen to eliminate d because we have the d-values scaled to the same amount, whereas we have b and 3b. We would actually lose a line here trying to scale the b-values. Remember, it's about picking your battles.
gmatclubot
Re: Combined, Dylan and Bailey weigh 200 pounds. If 100 pounds more than D [#permalink]
27 Sep 2022, 06:52
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