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    A commuter airline sells tickets for a flight at three rates: full fare, half far (for children), and early booking reduced fare (no further reduction for children). Fifty full fare, 12 half fare and 46 reduced fare tickets are sold for a total of $18,600. The reduced rate is $25 less than the half fare rate. Find the three rates.

    © BrainMass Inc. brainmass.com December 24, 2021, 5:01 pm ad1c9bdddf
    https://brainmass.com/math/algebra/equations-reduced-fare-tickets-22459

    SOLUTION This solution is FREE courtesy of BrainMass!

    A commuter airline sells tickets for a flight at three rates: full fare, half far (for children), and early booking reduced fare (no further reduction for children). Fifty full fare, 12 half fare and 46 reduced fare tickets are sold for a total of $18,600. The reduced rate is $25 less than the half fare rate. Find the three rates.

    Let the full fare be = x
    Then the half fare would be x/2
    Reduced fare is $ 25 less than the half fare rate
    Therefore reduced fare = (x/2 -25)

    Fifty full fare, 12 half fare and 46 reduced fare tickets are sold for a total of $18,600.
    This means 50 * x + 12 * (x/2) + 46 * ( x/2-25) = 18600
    ( * indicates multiplication)

    50 * x + 12 * (x/2) + 46 * ( x/2-25) = 18600
    Simplifying
    50 x + 6 x + 23 x - 1150 = 18600
    or
    79 x - 1150 = 18600
    or
    79 x = 18600+ 1150= 19750
    0r x= 19750/79= 250

    Thus x= full fare= 250
    x/2= half fare= 250/2= 125
    x/2-25= reduced fare= 125-25= 100

    Answer: full fare= 250 , half fare= 125 , reduced fare= 100

    check

    50 full fare + 12 half fare + 46 reduced fare = 50 * 250 + 12 * 125 + 46 * 100 =
    = 12500 + 1500 + 4600 = 18600

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    © BrainMass Inc. brainmass.com December 24, 2021, 5:01 pm ad1c9bdddf>
    https://brainmass.com/math/algebra/equations-reduced-fare-tickets-22459

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