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

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Math Expert
Joined: 02 Sep 2009
Posts: 51281
If 5/s = 3 and t/5 = 4, then (4 + s)/(t - 5) =  [#permalink]

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25 Jul 2018, 23:18
00:00

Difficulty:

5% (low)

Question Stats:

88% (01:01) correct 12% (02:07) wrong based on 34 sessions

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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

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MBA Section Director
Affiliations: GMATClub
Joined: 22 May 2017
Posts: 1513
Concentration: Nonprofit
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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25 Jul 2018, 23:24
$$\frac{5}{s}$$ = 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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Joined: 31 Oct 2013
Posts: 898
Concentration: Accounting, Finance
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If 5/s = 3 and t/5 = 4, then (4 + s)/(t - 5) =  [#permalink]

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25 Jul 2018, 23:41
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

=$$\frac{17}{45}$$

Target Test Prep Representative
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 2830
Re: If 5/s = 3 and t/5 = 4, then (4 + s)/(t - 5) =  [#permalink]

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30 Jul 2018, 10:29
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

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Jeffery Miller

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Re: If 5/s = 3 and t/5 = 4, then (4 + s)/(t - 5) = &nbs [#permalink] 30 Jul 2018, 10:29
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