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

Final Answer:

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Rich

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