Math problem help

Question

Maggie has a job working in an office for $10$10 an hour and another job driving a tractor for $12$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$416. How many hours did she spend at each job?

Answer 1

Let t = the number of hours spent driving the tractor

Then the number of hours spent in the office = 2t

For the total amount earned, we can write the following equation:

10*(2t) + 12t = 416

Solve for t: 32t = 416 t = 13

So she drove the tractor for 13 hours and worked at the office for 26 hours.