SOLUTION: One month, John worked 2 hours less than Dawn, and Jennifer worked 4 hours more than Dawn. Together they worked 196 hours. How many hours did each work?

Algebra ->  Rate-of-work-word-problems -> SOLUTION: One month, John worked 2 hours less than Dawn, and Jennifer worked 4 hours more than Dawn. Together they worked 196 hours. How many hours did each work?      Log On


   

Question 948096: One month, John worked 2 hours less than Dawn, and Jennifer
worked 4 hours more than Dawn. Together they worked 196 hours.
How many hours did each work?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
One month, John worked 2 hours less than Dawn, and Jennifer
worked 4 hours more than Dawn. Together they worked 196 hours.
How many hours did each work?
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h = d-2
j = d+4
h + j + d = 196
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Substitute for "h" and "j" and solve for "d"::
d-2 + d+4 + d = 196
3d + 2 = 196
3d = 194
d = 64 2/3 hrs (Dawn's hours)
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h = d-2 = 62 2/3 hrs (John's hours)
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j = d+4 = 68 2/3 hrs (Jennifer's hours)
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Cheers,
Stan H.
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