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In the fllowing equation, what is the value of n ? 3(n + 4) - 8/5 = 11

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In the fllowing equation, what is the value of n ? 3(n + 4) - 8/5 = 11 [#permalink]

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New post 19 Oct 2017, 11:47
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In the fllowing equation, what is the value of n ? \(\frac{3(n + 4) - 8}{5}\) = \(\frac{11 - (6 - 2n)}{2}\)

A. -\(\frac{33}{4}\)
B. -\(\frac{17}{4}\)
C. \(\frac{17}{4}\)
D. \(\frac{17}{16}\)
E. \(\frac{33}{16}\)
[Reveal] Spoiler: OA

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Re: In the fllowing equation, what is the value of n ? 3(n + 4) - 8/5 = 11 [#permalink]

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New post 19 Oct 2017, 13:30
SajjadAhmad wrote:
In the fllowing equation, what is the value of n ? \(\frac{3(n + 4) - 8}{5}\) = \(\frac{11 - (6 - 2n)}{2}\)

A. -\(\frac{33}{4}\)
B. -\(\frac{17}{4}\)
C. \(\frac{17}{4}\)
D. \(\frac{17}{16}\)
E. \(\frac{33}{16}\)


\(2[3(n + 4) - 8]\)\(=5[11 - (6 - 2n)]\)

\(6n+8=10n+25\)

or \(n =-\frac{17}{4}\)

Option B

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Re: In the fllowing equation, what is the value of n ? 3(n + 4) - 8/5 = 11 [#permalink]

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New post 20 Oct 2017, 11:29
\(\frac{{3(n+4)−8}}{5}\) = \(\frac{{11−(6−2n)}}{2}\)
\(\frac{{3n+12-8}}{5}\)=\(\frac{{11-6+2n}}{2}\)
\(\frac{{3n+4}}{5}\)=\(\frac{{5+2n}}{2}\)
6n+8=25+10n
4n=-17
n=\(\frac{-17}{4}\)

Answer B.

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Re: In the fllowing equation, what is the value of n ? 3(n + 4) - 8/5 = 11   [#permalink] 20 Oct 2017, 11:29
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In the fllowing equation, what is the value of n ? 3(n + 4) - 8/5 = 11

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