auren is moving to a new apartment and transferring to a new college. She can get a $10 /hour job, but the drive is significant, which limits how many hours she wants to work at that job. Taking a second job at $8 /hour with a short drive lowers her gas costs. Her rent is $1 comma 250 a semester, which is 15 weeks long. Books cost $600 a semester, and she would like to have $1 comma 300 for the semester just in case. How many hours a week should she work at each job to cover her costs if she wants to work only 25 hours a week?

She needs to work 5 hours per week on the first job ($10/hour job) and 20 hours per week on the second job ($8 / hour job)

Step-by-step explanation:

Let a represent the number of x represent the number of hours she uses per week on the first job ($10/hour job)

The number of hours used on the second job is;

= 25-x

The amount of money she needs per semester is;

1,250 + 600 + 1,300 = $3,150

The amount she can make per week on both jobs is;

10 (x) + 8 (25-x)

In a semester she can make;

15 * (10 (x) + 8 (25-x))

150x + 120 (25-x)

Equating to the amount she needs per semester;

150x + 120 (25-x) = 3150

150x + 3,000 - 120x = 3150

30x + 3000 = 3150

30x = 3150 - 3000

30x = 150

x = 150/30

x = 5

Also,

25 - x = 25 - 5 = 20

Therefore,

She needs to work 5 hours per week on the first job and 20 hours per week on the second job