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If 7(x/2 + x/5) = 3, what is the value of x?
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01 Mar 2021, 10:33
01 Mar 2021, 10:33
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Question Stats:
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If \(7(\frac{x}{2} + \frac{x}{5}) = 3\), what is the value of x?
(A) 3/49
(B) 30/49
(C) 1.5
(D) 15/7
(E) 49/3
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
(A) 3/49
(B) 30/49
(C) 1.5
(D) 15/7
(E) 49/3
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
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Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Re: If 7(x/2 + x/5) = 3, what is the value of x?
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01 Mar 2021, 11:59
01 Mar 2021, 11:59
Carcass wrote:
If \(7(\frac{x}{2} + \frac{x}{5}) = 3\), what is the value of x?
(A) 3/49
(B) 30/49
(C) 1.5
(D) 15/7
(E) 49/3
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
(A) 3/49
(B) 30/49
(C) 1.5
(D) 15/7
(E) 49/3
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
Given: \(7(\frac{x}{2} + \frac{x}{5}) = 3\)
Expand the left side to get: \(\frac{7x}{2} + \frac{7x}{5} = 3\)
The least common multiple of 2 and 5 is 10.
So we can eliminate the two fractions by multiplying both sides of the equation by 10 to get: \(35x + 14x = 30\)
Simplify: \(49x = 30\)
Solve: \(x = \frac{30}{49}\)
Answer: B
Cheers,
Brent
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Joined: 02 Jan 2020
Status:GRE Quant Tutor
Posts: 1141
Given Kudos: 9
Location: India
Concentration: General Management
Schools: XLRI Jamshedpur, India - Class of 2014
GMAT 1: 700 Q51 V31
GPA: 2.8
WE:Engineering (Computer Software)
Re: If 7(x/2 + x/5) = 3, what is the value of x?
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08 Sep 2022, 11:14
08 Sep 2022, 11:14
Given that \(7(\frac{x}{2} + \frac{x}{5}) = 3\) and we need to find the value of x
Multiplying both the sides by 10 we get
\(7(\frac{10*x}{2} + \frac{10*x}{5}) = 10*3\)
=> 7(5x + 2x) = 30
=> 7*7x = 30
=> 49x = 30
=> x = \(\frac{30}{49}\)
So, Answer will be B
Hope it helps!
Multiplying both the sides by 10 we get
\(7(\frac{10*x}{2} + \frac{10*x}{5}) = 10*3\)
=> 7(5x + 2x) = 30
=> 7*7x = 30
=> 49x = 30
=> x = \(\frac{30}{49}\)
So, Answer will be B
Hope it helps!
