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If Scott has earned x dollars by working 3 days a week at a constant

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Bunuel
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If Scott has earned x dollars by working 3 days a week at a constant [#permalink] New post   01 Aug 2016, 05:53
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If Scott has earned x dollars by working 3 days a week at a constant daily rate for w weeks, which of the following represents his daily wage?

A. 3xw
B. 3w/x
C. w/(3x)
D. xw/3
E. x/(3w)
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E
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BrentGMATPrepNow
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If Scott has earned x dollars by working 3 days a week at a constant [#permalink] New post   Updated on: 19 Jan 2020, 13:46
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Bunuel wrote:
If Scott has earned x dollars by working 3 days a week at a constant daily rate for w weeks, which of the following represents his daily wage?

A. 3xw
B. 3w/x
C. w/(3x)
D. xw/3
E. x/(3w)


Scott worked 3 days a week for w weeks
So, Scott worked a TOTAL of 3w DAYS

Let D = Scott's DAILY wage
So, 3wD = the TOTAL amount of $ that Scott earned

Scott has earned x dollars
So, 3wD = x

Which of the following represents Scott's daily wage (i.e. what is the value of D?
3wD = x
Solve for D to get: D = x/(3w)

Answer:
Show Spoiler
E


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Originally posted by BrentGMATPrepNow on 01 Aug 2016, 06:45.
Last edited by BrentGMATPrepNow on 19 Jan 2020, 13:46, edited 1 time in total.
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msk0657
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If Scott has earned x dollars by working 3 days a week at a constant [#permalink] New post   01 Aug 2016, 07:07
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Bunuel wrote:
If Scott has earned x dollars by working 3 days a week at a constant daily rate for w weeks, which of the following represents his daily wage?

A. 3xw
B. 3w/x
C. w/(3x)
D. xw/3
E. x/(3w)


I tried like this...

Let Scott earned X be 60 dollars by working 3 days per week and w be 2 weeks.. ( taken common multiple of 3 and 2 )

Total he worked for 6 days ( as it is 2 weeks) then per day he earned 10$ per day..

Let sub this value in options

A. 3xw => 3 * 60 * 2 -- not the expected value
B. 3w/x => 3*2/60 -- not the expected value
C. w/(3x) => 2/3*60 -- not the expected value
D. xw/3 => 60 * 2 /3 -- not the expected value
E. x/(3w) => 60 / 3*2 -- 10 $ as expected..

IMO E is correct answer...

OA please..will correct if I missed anything..
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BrentGMATPrepNow
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Re: If Scott has earned x dollars by working 3 days a week at a constant [#permalink] New post   01 Aug 2016, 07:30
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msk0657 wrote:
Bunuel wrote:
If Scott has earned x dollars by working 3 days a week at a constant daily rate for w weeks, which of the following represents his daily wage?

A. 3xw
B. 3w/x
C. w/(3x)
D. xw/3
E. x/(3w)


I tried like this...

Let Scott earned X be 60 dollars by working 3 days per week and w be 2 weeks.. ( taken common multiple of 3 and 2 )

Total he worked for 6 days ( as it is 2 weeks) then per day he earned 10$ per day..

Let sub this value in options

A. 3xw => 3 * 60 * 2 -- not the expected value
B. 3w/x => 3*2/60 -- not the expected value
C. w/(3x) => 2/3*60 -- not the expected value
D. xw/3 => 60 * 2 /3 -- not the expected value
E. x/(3w) => 60 / 3*2 -- 10 $ as expected..

IMO E is correct answer...

OA please..will correct if I missed anything..


There are two different ways to solve these "Variables in the Answer Choices" questions.
Your approach (which I call the INPUT-OUTPUT approach) is perfect.

Cheers,
Brent
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Re: If Scott has earned x dollars by working 3 days a week at a constant [#permalink] New post   02 Aug 2016, 10:45
In 1 week -- Scott works 3 days
In 'w' weeks---Scott works 3w days

3w day's wage -- x $
1 day's wage --- x/3w $

Answer : E
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KarishmaB
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Re: If Scott has earned x dollars by working 3 days a week at a constant [#permalink] New post   02 Aug 2016, 23:24
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Bunuel wrote:
If Scott has earned x dollars by working 3 days a week at a constant daily rate for w weeks, which of the following represents his daily wage?

A. 3xw
B. 3w/x
C. w/(3x)
D. xw/3
E. x/(3w)


Alternatively, say

For w weeks, he gets $x.
Weekly pay out = x/w
But every week, he works for 3 days. So daily payout = x/3w
Answer (E)
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Re: If Scott has earned x dollars by working 3 days a week at a constant [#permalink] New post   03 Aug 2016, 04:43
Bunuel wrote:
If Scott has earned x dollars by working 3 days a week at a constant daily rate for w weeks, which of the following represents his daily wage?

A. 3xw
B. 3w/x
C. w/(3x)
D. xw/3
E. x/(3w)



Total money earned =3*d*w= x

d= x/3w

E is the answer
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Re: If Scott has earned x dollars by working 3 days a week at a constant [#permalink] New post   01 Mar 2021, 12:25
x dollars
3 days/week
w weeks
we need the units to be dollars/day
therefore we multiple days/week by weeks => days
and then we divide dollars / days
so x/3*w
E
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Re: If Scott has earned x dollars by working 3 days a week at a constant [#permalink] New post   14 Nov 2022, 02:43
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Re: If Scott has earned x dollars by working 3 days a week at a constant [#permalink]
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