SOLUTION: 2.adam works part time at a fast food restaurant that pay $x per hour while jenny works as a sales assistant in boutique that pays $(X+2) per hour adam work 8 hour more per week th

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Question 388267: 2.adam works part time at a fast food restaurant that pay $x per hour while jenny works as a sales assistant in boutique that pays $(X+2) per hour adam work 8 hour more per week than jeeny and they each earn $192a week . find the value of x and the number of hours that adam work in a week
Answer by stanbon(75887) About Me  (Show Source):
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2.adam works part time at a fast food restaurant that pay $x per hour while jenny works as a sales assistant in boutique that pays $(X+2) per hour
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adam work 8 hour more per week than jeeny and they each earn $192 a week.
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find the value of x and the number of hours that adam works in a week
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Adam DATA:
pay rate = x/hr ; salary = $192 ; time = 192/x hrs
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Jenny DATA:
pay rate = (x+2)/hr ; salary = 192 ; time = 192/(x+2) hrs
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Equation:
adam time - jenny time = 8 hrs
192/x - 192/(x+2) = 8
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192(x+2) - 192x = 8x(x+2)
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8x^2+16x-2*192 = 0
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x^2 + 2x - 48 = 0
(x+8)(x-6) = 0
Positive solution: x = 6 hrs (hrs. Adam works in a week)
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Cheers,
Stan H.