Problema 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. Her total income for that week is $416. How many hours did she spend at each job?

Answer provided by our tutors

let


x = the hours she worked in the office

y = the hours she drove a tractor


One week she works in the office twice as long as she drives a tractor


x = 2y


Her total income for that week is $416


10x + 12y = 416


by solving the system of equations


x = 2y

10x + 12y = 416


we find


x = 26 hr


y = 13 hr


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she worked 26 hours in the office and 13 hours driving a tractor.