SOLUTION: Eleanor is working her way through school. She works two part-time jobs for a total of 22 hours a week. Job A pays $6.40 per hour, and Job B pays $6.70 per hour. How many hours did

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Eleanor is working her way through school. She works two part-time jobs for a total of 22 hours a week. Job A pays $6.40 per hour, and Job B pays $6.70 per hour. How many hours did      Log On


   



Question 956130: Eleanor is working her way through school. She works two part-time jobs for a total of 22 hours a week. Job A pays $6.40 per hour, and Job B pays $6.70 per hour. How many hours did she work at each job the week that she made $143.20?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Eleanor is working her way through school. She works two part-time jobs for a total of 22 hours a week. Job A pays $6.40 per hour, and Job B pays $6.70 per hour. How many hours did she work at each job the week that she made $143.20?
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Hours Eq:: a + b = 22 hours
Pay Eq:: 640a+670b = 14320 cents
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Modify for elimination:
640a + 640b = 640*22
640a + 670b = 14320
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Subtract and solve for "b"::
30b = 240
b = 8 hrs (hrs worked on job B)
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a = 22-8 = 14 hrs (hrs worked on job A)
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Cheers,
Stan H.
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