During the summer, you work 30 hours per week at a gas station and earn $8.75 per hour. You also work as a landscaper for $11 per

Question

During the summer, you work 30 hours per week at a gas station and earn $8.75 per hour. You also work as a landscaper for $11 per hour and can work as many hours as you want. You want to earn a total of $400 per week. How many hours, $t$ , must you work as a landscaper?

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Calantha 8 mins 2023-01-13T07:50:53+00:00 1 Answer 0 views 0

Answer ( 1 )

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    2023-01-13T07:52:25+00:00
    The number of hours to work as a landscaper is 12.5 hours.
    Given,
    you work 30 hours per week at a gas station and earn $8.75 per hour.
    You also work as a landscaper for $11 per hour and can work as many hours as you want.
    You want to earn a total of $400 per week.
    We need to find how many hours to work in landscraper to earn $400 a week.
    We have,
    At the gas station:
    $8.75 = 1 hour
    Find the dollars in 30 hours:
    $8.75 = 1 hour
    Multiply 30 on both sides
    30 x $8.75 = 30 x 1 hour
    $262.5 = 30 hours
    At landscaping:
    1 hour = $11
    We need to have $400 a week.
    We already have $262.5 earned from the gas station so we need to earn the remaining dollars from the landscaper.
    Find the remaining dollars:
    = $400 – $262.5
    = $137.5
    Find the number of hours worked as a landscaper:
    We have,
    1 hour = $11
    Multiplying 137.5/11 on both sides
    137.5/11 x 1 hour = 137.5/11 x $11
    12.5 hours = $137.5
    We see that to earn $137.5 he needs to work in the landscraper for 12.5 hours.
    We can also crosscheck:
    30 x $8.75 + 12.5 x $11
    $262.5 + $137.5
    $400
    Thus the number of hours to work as a landscaper is 12.5 hours.
    Learn more about finding the number of hours to work to get a fixed amount here:
    #SPJ1

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