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Re: If 5n/4n - x = 0.788^-1 [#permalink]
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amorphous wrote:
If nothing is mentioned on input type can the ans be an equivalent decimal 0.06?


Great question!

On the GRE, you will be told when to enter your response as a fraction. You will be given two boxes (one box for the numerator and one box for the denominator) to enter values. If there's just one box, then you can enter the value as a decimal.

When I first posted the question, I forgot to add directions to submit the answer as a fraction. I have now added text to that effect.

For more on how to enter values in Numeric Entry questions, watch 2:00 to 5:10 of the following video: https://www.greenlighttestprep.com/modu ... video/1244

Cheers,
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If 5n/4n - x = 0.788^-1 [#permalink]
\(\frac{5n}{4n - x} = 0.788^{-1}\)
Divide both numerator and denominator of left hand side by n we get

\(5(\frac{n}{n}) / \frac{(4n - x)}{n} = \frac{1}{0.788}\)
\(5 / [ 4(\frac{n}{n}) - (\frac{x}{n}) ] = \frac{1000}{788}\)
Let x/n = t
we get
\(\frac{5}{4 - t} = \frac{250}{197}\)
=> 5 * 197 = 250*(4-t) [Divide both sides by 5 we get]
=> 197 = 50*(4-t)
=> 197 = 200 - 50t
=> 50t = 200 - 917 = 3
=> t = \(\frac{3}{50}\)
=> \(\frac{x}{n}\) = t = \(\frac{3}{50}\)

Hope it helps!
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Re: If 5n/4n - x = 0.788^-1 [#permalink]
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