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a/b=3/4

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a/b=3/4 [#permalink] New post 25 Dec 2018, 15:19
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Question Stats:

62% (01:12) correct 37% (00:59) wrong based on 37 sessions
\(\frac{a}{b}=\frac{3}{4}\)

Quantity A
Quantity B
\(\frac{2a-b}{b}\)
\(\frac{a}{a+b}\)


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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Founder
Founder
User avatar
Joined: 18 Apr 2015
Posts: 12093
Followers: 256

Kudos [?]: 3016 [0], given: 11281

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Re: a/b=3/4 [#permalink] New post 25 Mar 2020, 15:48
Expert's post
For the two terms: on the LHS and on the RHS for being equal they must be an integer.

We can cross multiply

\(4a=3b\)

This means that a is a multiple of 3 and b is a multiple of 4. The two quantities must balance

As such, \(b = 4\) and \(a =3\).

Then \(\frac{2a-b}{b}=\frac{a}{a+b}\)

Substitute

\(\frac{6-4}{4}=\frac{3}{4+3}\)

\(\frac{2}{4}=\frac{3}{7}\)

\(\frac{2}{4} > \frac{3}{7
}\)


A is the answer
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Re: a/b=3/4   [#permalink] 25 Mar 2020, 15:48
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