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Carcass

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Joined: 18 Apr 2015

Posts: 25502

a/b=4/5 and b/c=9/7 [#permalink]

03 Mar 2022, 04:00

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$\frac{a}{b}=\frac{4}{5}$ and $\frac{b}{c}=\frac{9}{7}$

Quantity A	Quantity B
$\frac{ a}{c }$	$ 1$

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

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GreenlightTestPrep

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Joined: 10 Apr 2015

Posts: 6215

a/b=4/5 and b/c=9/7 [#permalink]

03 Mar 2022, 06:20

Carcass wrote:

$\frac{a}{b}=\frac{4}{5}$ and $\frac{b}{c}=\frac{9}{7}$

Quantity A	Quantity B
$\frac{ a}{c }$	$ 1$

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

Key property: $(\frac{a}{b})(\frac{b}{c}) = \frac{ab}{bc} = \frac{a}{c}$

Substitute the given values into the above equation to get:
$(\frac{a}{b})(\frac{b}{c}) = (\frac{4}{5})(\frac{9}{7})$
$= \frac{36}{35}$
$= \frac{a}{c}$

So we have:
QUANTITY A: $\frac{36}{35}$
QUANTITY B: $1$

Answer: A
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