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3y − z = 8 and the length of RT is 4.
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21 May 2019, 02:44
21 May 2019, 02:44
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Question Stats:
92% (00:47) correct
7% (01:42) wrong based on 52 sessions
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\(3y − z = 8\) and the length of \(RT = 4\).
Quantity A |
Quantity B |
The length of segment RS |
2.5 |
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.
GRE Prep Club Tests Editor
Joined: 13 May 2019
Affiliations: Partner at MyGuru LLC.
Posts: 186
Given Kudos: 5
Location: United States
GMAT 1: 770 Q51 V44
GRE 1: Q169 V168
WE:Education (Education)
Re: 3y − z = 8 and the length of RT is 4.
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21 May 2019, 10:02
21 May 2019, 10:02
1
Expert Reply
Quote:
\(3y − z = 8\) and the length of \(RT = 4\).
Quantity A |
Quantity B |
The length of segment RS |
2.5 |
First, note that segment RS = y. So, instead of considering Quantity A as RS, think of it as y. Now, just solve algebraically for y.
Based on the figure we know that y + z = length RT = 4 and that 3y - z = 8 . Then, stack and solve to eliminate z in a system of equations.
3y - z = 8
+ (y + z) = 4
4y = 12
Divide the equation by 4 to find that y = 3. Therefore, Quantity A > 2.5 so select Choice A.
gmatclubot
Re: 3y − z = 8 and the length of RT is 4. [#permalink]
21 May 2019, 10:02
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