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Which number is a solution for x/4 + 5/ 4= x/8+ 3?

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Which number is a solution for x/4 + 5/ 4= x/8+ 3?  [#permalink]

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New post 22 Feb 2017, 05:55
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A
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E

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Question Stats:

86% (01:11) correct 14% (01:27) wrong based on 84 sessions

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Which number is a solution for x/4 + 5/ 4= x/8+ 3?

A. −14
B. −7
C. 0
D. 7
E. 14
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Re: Which number is a solution for x/4 + 5/ 4= x/8+ 3?  [#permalink]

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New post 22 Feb 2017, 07:23
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vikasp99 wrote:
Which number is a solution for x/4 + 5/4 = x/8 + 3?

A. −14
B. −7
C. 0
D. 7
E. 14


Let's first eliminate the fractions by multiplying both sides of the equation by 8, which is the least common multiple of the denominators (4, 4, and 8)
We get: 8(x/4 + 5/4) = 8(x/8 + 3)
Expand to get: 2x + 10 = x + 24
Subtract x from both sides: x + 10 = 24
Subtract 10 from both sides: x = 14

Answer: E

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Re: Which number is a solution for x/4 + 5/ 4= x/8+ 3?  [#permalink]

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New post 22 Feb 2017, 07:44
vikasp99 wrote:
Which number is a solution for \(\frac{x}{4} + \frac{5}{4}= \frac{x}{8}+ 3\)?

A. −14
B. −7
C. 0
D. 7
E. 14


\(\frac{x}{4} + \frac{5}{4}= \frac{x}{8}+ 3\)

Or, \(\frac{x + 5}{4} = \frac{x + 24}{8}\)

Or, \(2x + 10 = x + 24\)

Or, \(x = 14\)

Answer will be (E) 14
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Re: Which number is a solution for x/4 + 5/ 4= x/8+ 3?  [#permalink]

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New post 22 Feb 2017, 10:35
vikasp99 wrote:
Which number is a solution for x/4 + 5/ 4= x/8+ 3?

A. −14
B. −7
C. 0
D. 7
E. 14


Here you can solve quickly by algebraic method however other way is by substitute method

The only value for satisfying x/4 + 5/ 4= x/8+ 3 is 14

Hence E
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Re: Which number is a solution for x/4 + 5/ 4= x/8+ 3?  [#permalink]

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New post 10 Feb 2019, 12:08
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Re: Which number is a solution for x/4 + 5/ 4= x/8+ 3?   [#permalink] 10 Feb 2019, 12:08
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