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21 April, 13:16

Sofia is working two summer jobs, making $12 per hour babysitting and making $8 per hour clearing tables. In a given week, she can work a maximum of 17 total hours and must earn a minimum of $180. If Sofia worked 14 hours babysitting, determine all possible values for the number of whole hours clearing tables that she must work to meet her requirements. Your answer should be a comma separated list of values. If there are no possible solutions, submit an empty answer.

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  1. 21 April, 13:21
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    The possible values for the number of whole hours clearing tables that she must work to meet her requirements is 2, 3 hours

    Solution:

    Amount earned in babysitting = $ 12 per hour

    Amount earned in clearing tables = $ 8 per hour

    In a given week, she can work a maximum of 17 total hours and must earn a minimum of $180

    Sofia worked 14 hours babysitting

    Therefore,

    Amount earned at babysitting = 14 x 12 = 168

    Thus, Sofia earned $ 168 at babysitting

    Sofia must earn a minimum of $ 180

    Remaining amount to be earned = 180 - 168 = 12

    Thus, Sofia must earn $ 12 from clearing tables

    Amount earned in clearing tables = $ 8 per hour

    So, she must work for atleast 1.5 hours to get $ 12 from clearing tables

    She can work a maximum of 17 total hours and Sofia worked 14 hours babysitting

    Remaining is 17 - 14 = 3 hours

    Thus possible values for the number of whole hours clearing tables that she must work to meet her requirements is 2 hours or 3 hours
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