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4 percent of s is equal to 3 percent of t, where

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4 percent of s is equal to 3 percent of t, where [#permalink] New post 21 Nov 2017, 12:53
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4 percent of s is equal to 3 percent of t, where \(s > 0\) and \(t > 0\)

Quantity A
Quantity B
s
t


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: 4 percent of s is equal to 3 percent of t, where [#permalink] New post 24 Nov 2017, 06:17
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Hi,

the question leads us to the following equation:

(4/1oo) *S = (3/100) *T

Multiplyng by 100 results in the following: 4S = 3T

Divide by 3 gives us: 4/3S =T

So here in my opinion the answer should clearly be B

Any other opinions here?
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Re: 4 percent of s is equal to 3 percent of t, where [#permalink] New post 26 Nov 2017, 01:58
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Explanation

translating word into math

\(0.04 * s = 0.03 * t\)

or \(4 * s = 3 * t\)

We do know from the stem that s and t and positive. No matter which number you do use: for instance 1 or 1/2 and substitute t will always > S

B is the answer
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Re: 4 percent of s is equal to 3 percent of t, where [#permalink] New post 26 Sep 2018, 15:02
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hi when you see this, can we assume that when t is greater than s, then t > s. Or with this type of question, we cannot just insert random number?
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Re: 4 percent of s is equal to 3 percent of t, where [#permalink] New post 28 Sep 2018, 03:40
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Carcass wrote:
Explanation

translating word into math

\(0.04 * s = 0.03 * t\)

or \(4 * s = 3 * t\)

We do know from the stem that s and t and positive. No matter which number you do use: for instance 1 or 1/2 and substitute S will always > t

A is the answer


Dude, are you crazy? Insert 100 into s, multiply by 4% you get 4. Now 4/0.03 is equal to 133.33...
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Re: 4 percent of s is equal to 3 percent of t, where [#permalink] New post 29 Sep 2018, 04:15
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Carcass wrote:
Explanation

translating word into math

\(0.04 * s = 0.03 * t\)

or \(4 * s = 3 * t\)

We do know from the stem that s and t and positive. No matter which number you do use: for instance 1 or 1/2 and substitute S will always > t

A is the answer


4 * s = 3 * t for the RHS to be equal to the LHS isn't it obvious that t must be greater than s?
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Re: 4 percent of s is equal to 3 percent of t, where [#permalink] New post 29 Sep 2018, 04:49
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You guys are correct! \(s<t\)

\(4s=3t\) or \(\frac{4}{3}s=t\).

I have modified the explanation above.

Thanks and Regards,
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Re: 4 percent of s is equal to 3 percent of t, where   [#permalink] 29 Sep 2018, 04:49
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