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Nancy works 3 days per week at a rate of x dollars per day. If Nancy w

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Joined: 17 Nov 2013
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Nancy works 3 days per week at a rate of x dollars per day. If Nancy w  [#permalink]

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Updated on: 14 Oct 2015, 08:50
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Difficulty:

35% (medium)

Question Stats:

80% (02:42) correct 20% (02:39) wrong based on 137 sessions

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Nancy works 3 days per week at a rate of x dollars per day. If Nancy works more than 3 days per week, any extra days are paid at double her normal rate. Nancy worked 4 weeks with no overtime, and then worked 3 more weeks, each with y days of overtime. Which of the following represents Nancy’s total earnings over this period?

a) 3y(7x+2xy)
b) 3x+12y
c) 3xy(7x+2)
d) 3x(2y+7)
e) 4x(y+8)

Originally posted by harish1986 on 14 Oct 2015, 07:43.
Last edited by ENGRTOMBA2018 on 14 Oct 2015, 08:50, edited 1 time in total.
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Re: Nancy works 3 days per week at a rate of x dollars per day. If Nancy w  [#permalink]

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14 Oct 2015, 08:03
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harish1986 wrote:
Nancy works 3 days per week at a rate of x dollars per day. If Nancy works more than 3 days per week, any extra days are paid at double her normal rate. Nancy worked 4 weeks with no overtime, and then worked 3 more weeks, each with y days of overtime. Which of the following represents Nancy’s total earnings over this period?

a) 3y(7x+2xy)
b) 3x+12y
c) 3xy(7x+2)
d) 3x(2y+7)
e) 4x(y+8)

Payment of a week for 3 days a week = \$3x
Payment of 4 weeks for 3 days a week = \$3x*4 = \$12x

Payment of a week for y days overtime a week = \$3x+\$2xy
Payment of 3 weeks for y days overtime a week = (\$3x+\$2xy)*3

Total Earnings = \$12x + (\$3x+\$2xy)*3 = 21x+6xy =3x(2y+7)

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Re: Nancy works 3 days per week at a rate of x dollars per day. If Nancy w  [#permalink]

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14 Oct 2015, 19:27
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Hi harish1986,

This question can also be solved by TESTing VALUES.

We're told that Nancy gets paid X dollars per day for a 3-day work week, but if it's an 'overtime' day (anything MORE than 3 days per week), then it's DOUBLE that (so 2X dollars per day). We're asked how much she was paid for 4 weeks with no overtime and 3 weeks with Y extra days per week of overtime.

Let's TEST....
X = 10
Y = 2

So Nancy gets paid \$10 per day for 3 days during a normal week....that's \$30 per week.
By working 2 extra days in a week, she gets paid the \$30 for the first 3 days, then 2(\$20) for the extra 2 days....that's \$70 for those weeks.

Over 4 regular weeks and 3 of these specific overtime weeks, she would make....

4(\$30) + 3(\$70) =
\$120 + \$210
\$330

So we're looking for an answer that equals 330 when X=10 and Y=2...

Answer A) 3y(7x+2xy) = 3(2)(70+40) = 660 NOT a match
Answer B) 3x+12y = 3(10) + 12(2) = 54 NOT a match
Answer C) 3xy(7x+2) = 3(10)(2)(70+2) = 4320 NOT a match
Answer D) 3x(2y+7) = 3(10)(4 + 7) = 330 This IS a match
Answer E) 4x(y+8) = 4(10)(2+8) = 400 NOT a match

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Re: Nancy works 3 days per week at a rate of x dollars per day. If Nancy w  [#permalink]

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27 Jul 2018, 08:00
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Re: Nancy works 3 days per week at a rate of x dollars per day. If Nancy w &nbs [#permalink] 27 Jul 2018, 08:00
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