Studdy AI Logo
Math

QuestionYou work 30 hours at \$8.25/hour and want to earn \$396 total. How many hours do you need to work landscaping?

Studdy Solution

STEP 1

Assumptions1. The hours worked at the gas station is30 hours per week. The hourly wage at the gas station is 8.253.Thetotalweeklyearningsdesiredis8.253. The total weekly earnings desired is 3964. The earnings from the gas station and the landscaping job combined should equal the total weekly earnings desired5. The hourly wage at the landscaping job is unknown6. The number of hours worked at the landscaping job is what we are trying to find

STEP 2

First, we need to find out how much you earn at the gas station per week. We can do this by multiplying the number of hours worked at the gas station by the hourly wage at the gas station.
Gas station earnings=Hours worked at gas stationtimesHourly wage at gas stationGas\, station\, earnings = Hours\, worked\, at\, gas\, station \\times Hourly\, wage\, at\, gas\, station

STEP 3

Now, plug in the given values for the number of hours worked at the gas station and the hourly wage at the gas station to calculate the gas station earnings.
Gas station earnings=30 hourstimes$8.25 per hourGas\, station\, earnings =30\, hours \\times \$8.25\, per\, hour

STEP 4

Calculate the gas station earnings.
Gas station earnings=30 hourstimes$8.25 per hour=$247.Gas\, station\, earnings =30\, hours \\times \$8.25\, per\, hour = \$247.

STEP 5

Now that we have the gas station earnings, we can find out how much you need to earn at the landscaping job. This can be found by subtracting the gas station earnings from the total weekly earnings desired.
Landscaping job earnings=Total weekly earnings desired−Gas station earningsLandscaping\, job\, earnings = Total\, weekly\, earnings\, desired - Gas\, station\, earnings

STEP 6

Plug in the values for the total weekly earnings desired and the gas station earnings to calculate the landscaping job earnings.
Landscaping job earnings=$396−$247.5Landscaping\, job\, earnings = \$396 - \$247.5

STEP 7

Calculate the landscaping job earnings.
Landscaping job earnings=$396−$247.5=$148.5Landscaping\, job\, earnings = \$396 - \$247.5 = \$148.5

STEP 8

Now that we have the landscaping job earnings, we can find out how many hours you need to work at the landscaping job. This can be found by dividing the landscaping job earnings by the hourly wage at the landscaping job.
Hours worked at landscaping job=Landscaping job earnings/Hourly wage at landscaping jobHours\, worked\, at\, landscaping\, job = Landscaping\, job\, earnings / Hourly\, wage\, at\, landscaping\, job

STEP 9

We are given that the hourly wage at the landscaping job is the same as the gas station, so we can plug in the value for the hourly wage at the gas station.
Hours worked at landscaping job=$148.5/$8.25 per hourHours\, worked\, at\, landscaping\, job = \$148.5 / \$8.25\, per\, hour

STEP 10

Calculate the number of hours worked at the landscaping job.
Hours worked at landscaping job=$148.5/$8.25 per hour=18 hoursHours\, worked\, at\, landscaping\, job = \$148.5 / \$8.25\, per\, hour =18\, hoursYou need to work18 hours per week at the landscaping job.

Was this helpful?

Studdy solves anything!

banner

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

ParentsInfluencer programContactPolicyTerms
TwitterInstagramFacebookTikTokDiscord