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?

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

Answers ( )

    0
    2021-09-15T07:36:26+00:00

    Answer:

    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

    0
    2021-09-15T07:36:34+00:00

    Answer:

    That is a lot!

    Step-by-step explanation:

Leave an answer

45:7+7-4:2-5:5*4+35:2 =? ( )