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March 28, 2017

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Sally works at a grocery store. In one week she earned $390 for working 47 hours, of which 7 hours were overtime. The next week she earned $416 for working 50 hours, of which 8 hours were overtime. What is Sally's HOURLY OVERTIME rate in dollars per hour? This question was answered as $8, but I don't think that can be right. Please help.

  • algebra - ,

    I made the correction below

    let her regular rate be $x per hour
    let her overtime rate be $y per hour

    first week: 40x + 7y = 390
    2nd week: 42x + 8y = 416

    1st equat x 8 ---> 320x +56y = 3120
    2nd equt x 7 ---> 294x + 56y = 2912
    subtract
    26x = 208
    x = 8

    substitute x = 8
    40x + 7y = 390
    40(8) + 7y = 390
    320 + 7y = 390
    7y = 70
    y = 10


    REINY had a typo, she had y = 8, when it should have been x.

  • algebra - ,

    Lorie, check your 1-14,5:01pm post.

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