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x/6 + 2 = 6/2

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x/6 + 2 = 6/2 [#permalink] New post 05 Jun 2017, 02:33
Expert's post
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Question Stats:

83% (00:59) correct 16% (02:20) wrong based on 12 sessions


\(\frac{x}{6} + 2 = \frac{6}{2}\)

\(\frac{y}{3} + 2 =\frac{9}{3}\)

Quantity A
Quantity B
\(\frac{( y - 1 )}{y}\)
\(\frac{(y - 1 )}{x}\)


A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
[Reveal] Spoiler: OA

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Re: x/6 + 2 = 6/2 [#permalink] New post 20 Jun 2017, 08:49
Expert's post
Carcass wrote:


\(\frac{x}{6} + 2 = \frac{6}{2}\)

\(\frac{y}{3} + 2 =\frac{9}{3}\)

Quantity A
Quantity B
\(\frac{( y - 1 )}{y}\)
\(\frac{(y - 1 )}{x}\)


A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.


Given: x/6 + 2 = 6/2
Simplify: x/6 + 2 = 3
Subtract 2 from both sides to get: x/6 = 1
Multiply both sides both 6 to get: x = 6

Given: y/3 + 2 = 9/3
Simplify: y/3 + 2 = 3
Subtract 2 from both sides to get: y/3 = 1
Multiply both sides both 3 to get: y = 3

We get:
Quantity A: (y - 1)/y = (3 - 1)/3
Quantity B: (y - 1)/x = (3 - 1)/6

Simplify:
Quantity A: 2/3
Quantity B: 2/6 = 1/3

Answer:
[Reveal] Spoiler:
A


Cheers,
Brent
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Re: x/6 + 2 = 6/2   [#permalink] 20 Jun 2017, 08:49
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