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Math Help - Horse Math Question

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    Horse Math Question

    A boy agreed to work one year for $240 and a horse. At the end of the seven months, he quit and received $100 and a horse. What was the value of the horse?
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    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by aznmartinjai View Post
    A boy agreed to work one year for $240 and a horse. At the end of the seven months, he quit and received $100 and a horse. What was the value of the horse?
    let x be the value of the horse in dollars
    12 months wage is 240 + x => one month wage is (240 + x)/12

    7 month wage is 100 + x => one month wage is (100 + x)/7

    so we have:

    (240 + x)/12 = (100 + x)/7
    => (240 + x)/12 - (100 + x)/7 = 0
    => (1680 + 7x - 1200 - 12x)/84 = 0
    => 1680 + 7x - 1200 - 12x = 0
    => 480 = 5x
    => x = 96

    so the value of the horse is $96
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