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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?

  • algebra -

    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
    26y = 208
    y = 8

    so her overtime rate is $8 per hour

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