SOLUTION: John is deciding between two jobs. One promises convenient hours and is closer to his
home. The other pays $2.25 more per hour, and John would earn $1,000 in 10 hours less
than i
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-> SOLUTION: John is deciding between two jobs. One promises convenient hours and is closer to his
home. The other pays $2.25 more per hour, and John would earn $1,000 in 10 hours less
than i
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Question 1035397: John is deciding between two jobs. One promises convenient hours and is closer to his
home. The other pays $2.25 more per hour, and John would earn $1,000 in 10 hours less
than it will take him to earn $900 at the first job. What is the hourly wage for each job? Found 3 solutions by stanbon, josmiceli, MathTherapy:Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! John is deciding between two jobs.
One promises convenient hours and is closer to his home.
The other pays $2.25 more per hour, and John would earn $1,000 in 10 hours less
than it will take him to earn $900 at the first job. What is the hourly wage for each job?
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1st job DATA:
hrs = h ; rate = r ; earnings = r*h = 900
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2nd job DATA:
hrs = h-10 ; rate = r+2.25 ; earn = (r+2.25)*(h-10)
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Equation:
(r+2.25)(h - 10) = 1000
rh - 10r + 2.25h = 1000
900 - 10r + 2.25h = 1000
2.25h = 100 + 10r
2.25(900/r) = 100 + 10r
10r^2 + 100r - 2025 = 0
r = $10.08
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1st job rate = r = $10.08 per hr.
2nd job rate = r+2.25 = $12.33 per hr.
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You can put this solution on YOUR website! Let = rate in dollars/hr for the job
paying less per hour = rate in dollars/hr for he job
paying more per hour
Let = time to earn $900 at lower paying job = time to earn $1,000 at higher paying job
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(1)
(2)
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(2)
and
(1)
(1)
(1)
(1)
(1)
Multiply both sides by
(1)
(1)
(1)
(1)
Solve with quadratic formula
and
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Lower paying rate is $9.37 / hr
Higher paying rate is $20.99 / hr
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check answers:
(2)
(2)
(2)
and
(1)
(1)
(1)
(1)
(1)
(1)
close enough -hope I got it!
You can put this solution on YOUR website!
John is deciding between two jobs. One promises convenient hours and is closer to his
home. The other pays $2.25 more per hour, and John would earn $1,000 in 10 hours less
than it will take him to earn $900 at the first job. What is the hourly wage for each job?
(