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

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by GMATinsight » Wed Oct 14, 2015 8:34 am
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)

Answer: Option D
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by GMATinsight » Wed Oct 14, 2015 8:35 am
GMATinsight 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)

Answer: Option D
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)

Answer: option D
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