Algebra

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A manager has $1170 made up of twenties and fifties. The total is 36 bills. How many fifty-dollar bills does the manager have?

  • Algebra -

    Please show me how to set this problem up. I am confused.

  • Algebra -

    You need to set up a system of equations. No one knows how many of each type of bill there is. Let t=twenties and f=fifties.
    t+f=36
    20t+50f=1170

    -20(t+f=36)=-20t+-20f=-720
    20t+50f=1170
    30f=450 f=15

    t+15=36
    -15 -15
    t=21

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