SOLUTION: Maggie has a job working in an office for $10 an hour and another job driving a tractor for $12 an hour. One week she works in the office twice as long as she drives the tractor. H

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Question 878881: Maggie has a job working in an office for $10 an hour and another job driving a tractor for $12 an hour. One week she works in the office twice as long as she drives the tractor. Her total income for that week is $416. How many hours did she spend at each job?
Found 2 solutions by lwsshak3, josmiceli:
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Maggie has a job working in an office for $10 an hour and another job driving a tractor for $12 an hour. One week she works in the office twice as long as she drives the tractor. Her total income for that week is $416. How many hours did she spend at each job?
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let x=hours Maggie works driving a tractor
2x=hours Maggie works in the office
...
12x+10*2x=416
12x+20x=416
32x=416
x=13
2x=26
hours Maggie works driving a tractor=13
hours Maggie works in the office=26

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +a+ = hours worked for office job
Let +b+ = hours worked driving tractor
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(1) +a+=+2b+
(2) +10a+%2B+12b+=+416+
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Substitute (1) into (2)
(2) +10%2A%28+2b+%29+%2B+12b+=+416+
(2) +20b+%2B+12b+=+416+
(2) +32b+=+416+
(2) +b+=+13+
and, since
(1) +a+=+2b+
(1) +a+=+2%2A13+
(1) +a+=+26+
She pent 26 hrs at office and
13 hrs driving tractor
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check:
(2) +10a+%2B+12b+=+416+
(2) +10%2A26+%2B+12%2A13+=+416+
(2) +260+%2B+156+=+416+
(2) +416+=+416+
OK