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If 5/s = 3 and t/5 = 4, then (4 + s)/(t - 5) =

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Math Expert
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V
Joined: 02 Sep 2009
Posts: 49993
If 5/s = 3 and t/5 = 4, then (4 + s)/(t - 5) =  [#permalink]

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New post 26 Jul 2018, 00:18
00:00
A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

88% (00:59) correct 12% (02:07) wrong based on 33 sessions

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Senior RC Moderator
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Status: Perfecting myself for GMAT
Joined: 22 May 2017
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Concentration: Nonprofit
Schools: Haas '21
GPA: 4
WE: Engineering (Computer Software)
Re: If 5/s = 3 and t/5 = 4, then (4 + s)/(t - 5) =  [#permalink]

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New post 26 Jul 2018, 00:24
\(\frac{5}{s}\) = 3 and \(\frac{t}{5}\) = 4

=> s = \(\frac{5}{3}\) and t = 20

\(\frac{4 + s}{t - 5}\) = \(\frac{17}{45}\)

Hence option C
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If 5/s = 3 and t/5 = 4, then (4 + s)/(t - 5) =  [#permalink]

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New post 26 Jul 2018, 00:41
Bunuel wrote:
If 5/s = 3 and t/5 = 4, then (4 + s)/(t - 5) =

A. 7/45
B. 1/5
C. 17/45
D. 9/5
E. 17/5



5/s = 3

s = 5/3

and

t/5 = 4

t = 20

(4 + s ) = 4 + 5/3 = 17/3

( t-5) = 15


so,\(\frac{4+s}{t-5}\)

= (17/3) / 15

=\(\frac{17}{45}\)

The best answer is C.
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Re: If 5/s = 3 and t/5 = 4, then (4 + s)/(t - 5) =  [#permalink]

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New post 30 Jul 2018, 11:29
1
Bunuel wrote:
If 5/s = 3 and t/5 = 4, then (4 + s)/(t - 5) =

A. 7/45
B. 1/5
C. 17/45
D. 9/5
E. 17/5


Simplifying, we have:

5 = 3s

5/3 = s

and

t/5 = 4

t = 20

Thus:

(4 + s)/(t - 5)

(4 + 5/3)/(20 - 5)

(4 + 5/3)/(15)

Multiplying by 3/3, we have:

(12 + 5)/45 = 17/45

Answer: C
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Re: If 5/s = 3 and t/5 = 4, then (4 + s)/(t - 5) = &nbs [#permalink] 30 Jul 2018, 11:29
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