4 5 Is Equal to What Percent
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4 percent of s is equal to 3 percent of t, where [#permalink] 
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.
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Re: 4 percent of s is equal to 3 percent of t, where [#permalink] 24 Nov 2017, 06:17
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] 26 Nov 2017, 01:58
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] 26 Sep 2018, 15:02
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] 28 Sep 2018, 03:40
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] 29 Sep 2018, 04:15
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] 29 Sep 2018, 04:49
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] 14 Aug 2020, 05:08
If we put random numbers in s and t the answer would be D. By solving it via Algebraic method "t" is greater but by testing numbers it is not. Any comment on this please?
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Re: 4 percent of s is equal to 3 percent of t, where [#permalink] 30 Aug 2020, 12:37
cant this question have option d as its answer choice ?
as after solving we get 4s =3t , and s and t both are >0
so if i take dummy data for s=2 and t-4 we get B is greater
and if take s =3 and t=4 we get both equal ?
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Re: 4 percent of s is equal to 3 percent of t, where [#permalink] 08 Jan 2021, 09:30
Let's think that,
4s = 3t
or, \(\frac{s}{t} = \frac{3}{4}\)
If s is 3, then t is 4, again s is 9 then t is 12, therefore, t is always greater than s
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