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6 April, 00:03

Bentley is working two summer jobs, making $18 per hour lifeguarding and making $8 per hour clearing tables. In a given week, he can work no more than 15 total hours and must earn at least $180. If Bentley worked 5 hours clearing tables, determine the minimum number of whole hours lifeguarding that he must work to meet his requirements. If there are no possible solutions, submit an empty answer.

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  1. 6 April, 00:13
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    8 hours

    Step-by-step explanation:

    First, let's find how much Bentley gets from clearing tables.

    5 hours • $8 per hour = $40 total

    We can take $40 off his $180 total, leaving the rest for when we figure out how much he needs to work lifeguarding.

    $180 needed - $40 earned = $140 left to earn

    We know that Bentley makes $18 an hour lifeguarding, so in order to get the number of hours he would need to work in order to make $140, we can divide it by $18.

    $140 needed : $18 per hour = 7.77 ...

    We need to convert this to a whole number because we're talking about hours worked, so Bentley would need to work 8 hours lifeguarding to make $140 more. He can only work 15 hours total, so let's check if this exceeds his limit.

    5 hours clearing tables + 8 hours lifeguarding = 13 hours < 15 hours max

    It is possible to make $180 total from this work schedule, so your answer would be 8 hours.
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