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11x + 14y = 30 and 3x + 4y = 12
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25 May 2023, 05:57
25 May 2023, 05:57
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50% (02:29) correct
49% (02:07) wrong based on 53 sessions
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11x + 14y = 30 and 3x + 4y = 12
A Quantity A is greater.
B Quantity B is greater.
C The two quantities are equal.
D The relationship cannot be determined from the information given.
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Quantity A |
Quantity B |
\(x+y\) |
\((x+y )^{-2}\) |
A Quantity A is greater.
B Quantity B is greater.
C The two quantities are equal.
D The relationship cannot be determined from the information given.
Post A Detailed Correct Solution For The Above Questions And Get A Kudos.
Question From Our Project: Free GRE Prep Club Tests in Exchange for 20 Kudos
\(\Longrightarrow\) Cracking the GRE Premium
\(\Longrightarrow\) GRE Math Essentials - A most comprehensive handout!!
Re: 11x + 14y = 30 and 3x + 4y = 12
[#permalink]
28 May 2023, 09:27
28 May 2023, 09:27
Expert Reply
OE
This is a simultaneous equation question. Both quantities ask for the value of x + y, so try to combine the equations to find that value. If you multiply 3x + 4y = 12 by 3, the result is 9x + 12y = 36. This can be subtracted from the other equation to find that 2x + 2y = −6.
Divide both sides of the equation by 2 to find that x + y = −3. Quantity A, then, is equal to −3.
Quantity B is now (−3)^−2, which can be rewritten as 1/(-3)^2=1/9
B > A
This is a simultaneous equation question. Both quantities ask for the value of x + y, so try to combine the equations to find that value. If you multiply 3x + 4y = 12 by 3, the result is 9x + 12y = 36. This can be subtracted from the other equation to find that 2x + 2y = −6.
Divide both sides of the equation by 2 to find that x + y = −3. Quantity A, then, is equal to −3.
Quantity B is now (−3)^−2, which can be rewritten as 1/(-3)^2=1/9
B > A
gmatclubot
Re: 11x + 14y = 30 and 3x + 4y = 12 [#permalink]
28 May 2023, 09:27
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