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If w-z/w = 3-5 2/5 , and neither w nor z is equal to zero,

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If w-z/w = 3-5 2/5 , and neither w nor z is equal to zero, [#permalink] New post 21 May 2019, 11:31
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Question Stats:

30% (00:48) correct 69% (00:54) wrong based on 13 sessions
If \(\frac{w-z}{w} = 3-5 \frac{2}{5}\) , and neither w nor z is equal to zero, then \(\frac{w}{z} =\)

A. \(- \frac{5}{12}\)

B. \(- \frac{5}{17}\)

C. \(\frac{5}{17}\)

D. \(\frac{5}{12}\)

E. \(\frac{12}{17}\)
[Reveal] Spoiler: OA

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Re: If w-z/w = 3-5 2/5 , and neither w nor z is equal to zero, [#permalink] New post 11 Jun 2019, 06:45
Expert's post
Carcass wrote:
If \(\frac{w-z}{w} = 3-5 \frac{2}{5}\) , and neither w nor z is equal to zero, then \(\frac{w}{z} =\)

A. \(- \frac{5}{12}\)

B. \(- \frac{5}{17}\)

C. \(\frac{5}{17}\)

D. \(\frac{5}{12}\)

E. \(\frac{12}{17}\)


Useful property: \(\frac{x-y}{z}=\frac{x}{z}-\frac{y}{z}\)

GIVEN: \(\frac{w-z}{w} = 3-5 \frac{2}{5}\)

Apply above property to rewrite left side: \(\frac{w}{w}-\frac{z}{w} = 3-5 \frac{2}{5}\)

Simplify both sides: \(1-\frac{z}{w} = \frac{15}{5}-\frac{27}{5}\)

Simplify right side: \(\frac{5}{5}-\frac{z}{w} = \frac{-12}{5}\)

Subtract \(\frac{5}{5}\) from both sides: \(-\frac{z}{w} = \frac{-17}{5}\)

Multiply both sides by -1 to get: \(\frac{z}{w} = \frac{17}{5}\)

If \(\frac{z}{w} = \frac{17}{5}\), then \(\frac{w}{z} = \frac{5}{17}\)

Answer: C

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Brent
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Re: If w-z/w = 3-5 2/5 , and neither w nor z is equal to zero,   [#permalink] 11 Jun 2019, 06:45
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If w-z/w = 3-5 2/5 , and neither w nor z is equal to zero,

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