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25 April, 11:20

Joanna, the line manager at Smedley Electronics, works 14 hours a week more than her line workers and gets paid $6.50 more per hour. Line workers work h hours per week and get paid d dollars per hour. How do you write an expression for how much a line worker gets paid each week and how much Joanna gets paid each week? And if the line workers get paid $576 for a 36 hour week, how much does Joanna get paid per week?

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  1. 25 April, 12:58
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    Given:

    Joanna:

    works 14 hrs a week more than her line workers.

    gets paid 6.50 more per hour than her line workers.

    Line workers: h = hours per week; d = dollars per hour.

    Line worker = Dollar per hour * number of hours.

    Joanna = (Dollar per hour + 6.50) (number of hours + 14 hours)

    Line worker:

    $576 = d * 36 hours

    $576/36 = d

    $16 = d hourly rate of line worker.

    Joanna:

    $16 + 6.50 = $22.50 hourly rate

    36hrs + 14hrs = 50 hours per week.

    Weekly pay of Joanna: $22.50 * 50 = $1,125
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