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# If p - p/q = 4 what is p in terms of q?

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If p - p/q = 4 what is p in terms of q? [#permalink]

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17 Oct 2016, 08:14
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87% (01:05) correct 13% (01:22) wrong based on 69 sessions

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If p - p/q = 4 what is p in terms of q?

A) p = 4q/(q-1)
B) p = 4q/(q+1)
C) p = 4q(q-2)
D) p = 4(q+1)/q
E) p = 4(q-1)/q
[Reveal] Spoiler: OA

Last edited by abhimahna on 17 Oct 2016, 09:24, edited 1 time in total.
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Re: If p - p/q = 4 what is p in terms of q? [#permalink]

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17 Oct 2016, 08:38
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scaracom wrote:
If p - p/q = 4 what is p in terms of q?

$$p - \frac{p}{q} = 4$$

Or, $$pq - p = 4q$$

Or, $$p (q - 1 ) = 4q$$

Or, $$p = \frac{4q}{(q - 1 )}$$

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Re: If p - p/q = 4 what is p in terms of q? [#permalink]

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18 Oct 2016, 09:14
scaracom wrote:
If p - p/q = 4 what is p in terms of q?

A) p = 4q/(q-1)
B) p = 4q/(q+1)
C) p = 4q(q-2)
D) p = 4(q+1)/q
E) p = 4(q-1)/q

We are given that p - p/q = 4 and must isolate p. Let's start by multiplying the entire equation by q to get rid of the fraction.

q(p - p/q = 4)

pq - p = 4q

p(q - 1) = 4q

p = 4q/(q - 1)

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Re: If p - p/q = 4 what is p in terms of q? [#permalink]

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24 Oct 2017, 06:41
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Re: If p - p/q = 4 what is p in terms of q?   [#permalink] 24 Oct 2017, 06:41
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