SOLUTION: I am really stuck with the following word problem. Your cousin and you are earning money for your family vacation. Your cousin averages $15.00 a week babysitting and receives one

Question 114650: I am really stuck with the following word problem. Your cousin and you are earning money for your family vacation. Your cousin averages $15.00 a week babysitting and receives one $5.00 bonus. You average $10.00 a week mowing lawns and $8.00 a week running errands for your neighbor. After working the same amounts of weeks, you end up with $7.00 more than your cousin. How many weeks did you work?
Found 2 solutions by stanbon, checkley71:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Your cousin and you are earning money for your family vacation. Your cousin averages $15.00 a week babysitting and receives one $5.00 bonus. You average $10.00 a week mowing lawns and $8.00 a week running errands for your neighbor. After working the same amounts of weeks, you end up with $7.00 more than your cousin. How many weeks did you work?
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Let the # of weeks you work be "x".
Cousin Earnings: 15x + 5
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Your Earnings: x(10+8) = 18x
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EQUATION:
Your earnings - cousin's earnings = 7
18x -(15x+5) = 7
3x-5 = 7
3x = 12
x = 4 weeks
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You and your cousin each worked 4 weeks.
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Cheers,
Stan H.
Answer by checkley71(8403) (Show Source): You can put this solution on YOUR website!
15W+5=(10+8)W-7
15W+5=18W-7
15W-18W=-7-5
-3W=-12
W=-12/-3
W=4 WEEKS OF WORK.
PROOF
15*4+5=18*4-7
60+5=72-7
65=65

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