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
Algebra ->
Human-and-algebraic-language
-> 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
Log On
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) (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?
***
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
You can put this solution on YOUR website! Let = hours worked for office job
Let = hours worked driving tractor
-----------------
(1)
(2)
-----------------------
Substitute (1) into (2)
(2)
(2)
(2)
(2)
and, since
(1)
(1)
(1)
She pent 26 hrs at office and
13 hrs driving tractor
---------------------------
check:
(2)
(2)
(2)
(2)
OK