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0<a<b

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Carcass
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0<a<b [#permalink] New post   18 Aug 2020, 09:28
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\(0<a<b\)



Quantity A
Quantity B
\(\frac{a}{5 }\)
\(\frac{b}{4}\)




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.
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B
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Carcass
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Re: 0<a<b [#permalink] New post   18 Aug 2020, 09:29
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Re: 0<a<b [#permalink] New post   18 Aug 2020, 11:51
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0<a<b so we have a/b <1
Let's compare Quantity A / Quantity B (denoted by A/B for simplicity).
A/B=(a/5) / (b/4) = (a/5) * (4/b) = (a/b) * (4/5)
We have a/b < 1 (by the indication in the question)
4/5 = 0.8 <1
so the product is below 1.
Thus A/B < 1 which means B is greater.
So we should choose answer B.
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Re: 0<a<b [#permalink] New post   21 Aug 2020, 06:41
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Carcass wrote:
\(0<a<b\)



Quantity A
Quantity B
\(\frac{a}{5 }\)
\(\frac{b}{4}\)




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.


Since \(a\) and \(b\) are positive and we have \(a < b\), we have \(\frac{a}{5} < \frac{a}{4} < \frac{b}{4}\) and quantity B is greater.

Therefore, the right answer is B.
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Re: 0<a<b [#permalink]
21 Aug 2020, 06:41
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