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algebra

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in a week Mike ran 8km farther than Bill, while Pete ran 1 km less than 3 times as far as Bill.If pete ran 15 km farther than Mike, how many kilometers did Bill run?

  • algebra -

    M=B+8
    P+1=3B
    P-15=M

    put them in standard form..

    M-B=8
    P-3B=-1
    P-M=15

    Subtract the last from the middle..
    -3B+M=-16
    Now subtract the first equation.
    -2B=-24
    B=12
    check me. If correct, then finish up the others.

  • algebra -

    In a week Mike ran 8 km farther than Bill, while Pete ran 1 km less than 3 times as far as Bill.
    If Pete ran 15 km farther than Mike, how many kilometers did Bill run?
    Let m be how far Mike ran in km.
    Let b be how far Bill ran in km.
    Let p be how far Pete ran in km.
    The given information is (1), (2), and (3).
    (1) m = 8+b
    (2) p = 3b – 1
    (3) p = 15+m Use (1) to replace m in (3)
    (4) p = 15+8+b Use (2) to replace p in (4)
    (5) 3b – 1 = 15+8+b Subtract b from both sides. Add 1 to both sides.
    (6) 2b = 24 Divide both sides by 2
    (7) b = 12
    Bill ran 12 km.

  • algebra -

    thanks

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