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Brian O'Reilly earns twice as much each week as a tutor than he does pumping gas. His total weekly wages are $150 more than that of his younger sister. She earns one quarter as much as Brian does as a tutor. How much does Brian earn as a tutor?

  • math -

    i think its 37.50

  • math -

    let his wages from pumping gas be x
    then his wages from tutoring is 2x
    Brian's total wages = 3x

    Sisters wages are 1/4 of Brian's tutor wages
    = (1/4)(2x) = x/2

    His wages from tutoring are 150 more than sister's wages
    3x = x/2 + 150
    6x = x + 300
    5x = 300
    x = 60

    So he makes 2x or $120 as a tutor.

    check: Brian's wages = 60 + 120 = 180
    Sister's wages = (1/4) of 120 = 30
    180 is 150 more than 30

  • math -

    this problem is killing me

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