## 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 li

Question

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?

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1 week 2021-09-15T07:34:50+00:00 2 Answers 0

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