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what is the value of n?
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Updated on: 07 Sep 2019, 01:20
Updated on: 07 Sep 2019, 01:20
Expert Reply
00:00
Question Stats:
92% (00:57) correct
7% (02:46) wrong based on 66 sessions
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If \(\frac{2 + \frac{3}{n}}{3 + \frac{2}{n}}\) \(= \frac{5}{4}\) , what is the value of n?
Show: :: OA
\(\frac{2}{7}\)
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Re: what is the value of n?
[#permalink]
12 May 2019, 11:41
12 May 2019, 11:41
2
Carcass wrote:
If \(\frac{2 + \frac{3}{n}}{3 + \frac{2}{n}}\) \(= \frac{5}{4}\) , what is the value of n?
Show: :: OA
\(- \frac{2}{7}\)
We can make the fraction \(\frac{2 + \frac{3}{n}}{3 + \frac{2}{n}}\) much easier to work with by finding an EQUIVALENT fraction.
Take: \(\frac{2 + \frac{3}{n}}{3 + \frac{2}{n}}\)
Multiply top and bottom by n to get: \(\frac{2n+3}{3n+2}\)
So, the original equation becomes: \(\frac{2n+3}{3n+2}=\frac{5}{4}\)
Cross multiply to get: \(4(2n+3)=5(3n+2)\)
Expand to get: \(8n+12=15n+10\)
Subtract 8n from both sides to get: \(12=7n+10\)
Subtract 10 from both sides to get: \(2=7n\)
Divide both sides by 7 to get: \(\frac{2}{7}=n\)
Answer: \(\frac{2}{7}\)
Cheers,
Brent
Re: what is the value of n?
[#permalink]
07 Sep 2019, 01:14
07 Sep 2019, 01:14
1
Answer given is -2/7, however the actual answer is 2/7.
