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QuestionYou work 30 hrs/wk at \$8.25/hr and want to earn \$396 total. How many hrs/wk at \$11.00/hr do you need to work?

Studdy Solution

STEP 1

Assumptions1. The hourly wage at the gas station is 8.25.Thehourlywageforthelandscapingjobis8.25. The hourly wage for the landscaping job is 11.003. The total hours worked at the gas station per week is30 hours4. The total earnings per week is 3965.Thehoursworkedatthelandscapingjobisdenotedas3965. The hours worked at the landscaping job is denoted as m$
6. The total earnings per week is the sum of the earnings from both jobs

STEP 2

First, we need to find the total earnings from the gas station job. We can do this by multiplying the hourly wage at the gas station by the number of hours worked per week.
arningsgas station=Hourly wagegas stationtimesHoursgas stationarnings_{gas\,station} = Hourly\,wage_{gas\,station} \\times Hours_{gas\,station}

STEP 3

Now, plug in the given values for the hourly wage and hours worked at the gas station to calculate the earnings.
arningsgas station=$8.25times30arnings_{gas\,station} = \$8.25 \\times30

STEP 4

Calculate the earnings from the gas station job.
arningsgas station=$8.25times30=$247.arnings_{gas\,station} = \$8.25 \\times30 = \$247.

STEP 5

Now that we have the earnings from the gas station job, we can find the earnings needed from the landscaping job to reach the total weekly earnings of $396. We do this by subtracting the earnings from the gas station job from the total weekly earnings.
arningslandscaping=Total earnings−arningsgas stationarnings_{landscaping} = Total\,earnings -arnings_{gas\,station}

STEP 6

Plug in the values for the total earnings and the earnings from the gas station job to calculate the earnings needed from the landscaping job.
arningslandscaping=$396−$247.5arnings_{landscaping} = \$396 - \$247.5

STEP 7

Calculate the earnings needed from the landscaping job.
arningslandscaping=$396−$247.5=$148.5arnings_{landscaping} = \$396 - \$247.5 = \$148.5

STEP 8

Now that we have the earnings needed from the landscaping job, we can find the number of hours needed to work at the landscaping job by dividing the earnings needed by the hourly wage at the landscaping job.
Hourslandscaping=arningslandscaping/Hourly wagelandscapingHours_{landscaping} =arnings_{landscaping} / Hourly\,wage_{landscaping}

STEP 9

Plug in the values for the earnings needed from the landscaping job and the hourly wage at the landscaping job to calculate the hours needed.
Hourslandscaping=$148.5/$11Hours_{landscaping} = \$148.5 / \$11

STEP 10

Calculate the hours needed to work at the landscaping job.
Hourslandscaping=$148.5/$=13.5 hoursHours_{landscaping} = \$148.5 / \$ =13.5\, hoursYou need to work13.5 hours per week at the landscaping job.

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