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Math Help - please help

  1. #1
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    Sep 2006
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    Question please help

    The CS Leaguehas set a budget of $3840 for soccer balls.High quality balls cost$36 each while lower quality practice balls cost $20 each.If 160 balls had to be purchased how many balls of each type can bebought to exactly use up the budgetted amount?
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  2. #2
    Senior Member OReilly's Avatar
    Joined
    Mar 2006
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    Quote Originally Posted by candace View Post
    The CS Leaguehas set a budget of $3840 for soccer balls.High quality balls cost$36 each while lower quality practice balls cost $20 each.If 160 balls had to be purchased how many balls of each type can bebought to exactly use up the budgetted amount?
    Well we have to solve system of equations.

    Lets say h is total number of high quality balls and l is total number of low quality balls.
    So h+l must be 160.

    So we can set system:
    36*h + 20*l = 3840
    h+l=160

    36*h + 20*l = 3840
    h=160-l

    36(160-l) + 20*l = 3840
    5760-36l+20l=3840
    5760-3840=36l-20l
    1920=16l
    l=120

    So h+120=160
    h=40

    So we can by 40 high quality balls and 120 low quality balls.
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