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Math Help - 6th grade math help

  1. #1
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    6th grade math help

    Corey’s parents agree to loan Corey $182 to help pay
    for the school’s spring music trip to Florida. Corey agrees to
    monthly payback amounts of $2, $4, $6, $8, and so on. How long
    will it take Corey to pay back the $182?

    Please help!
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    Re: 6th grade math help

    6th grade math help-ap-1.png
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  3. #3
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    Re: 6th grade math help

    Quote Originally Posted by GNUF3 View Post
    Corey’s parents agree to loan Corey $182 to help pay
    for the school’s spring music trip to Florida. Corey agrees to
    monthly payback amounts of $2, $4, $6, $8, and so on. How long
    will it take Corey to pay back the $182?

    Please help!
    Can Corey pay any amount on that list? That is to say, can he pay $8 one month and then $2 the next or do they have to be paid in that order $(2, 4, 6, etc)?

    -Dan
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    Re: 6th grade math help

    Sn = 2 + 4 + 6 + 8 + ... = 182
    2(1 + 2 + 3 + ... n) = 182
    2n(n + 1)/2 = 182
    n(n + 1) = 182
    182 = 2 × 7 × 13 = 13 × 14
    n = 13
    in 13 months Corey to pay back the $182
    ----
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  5. #5
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    Re: 6th grade math help

    GNUF3, do you understand that you could have done this with a few minutes of integer arithmetic?
    2+ 4= 6
    6+ 6= 12
    12+ 8= 20
    20+ 10= 30
    30+ 12= 42
    42+ 14= 56
    56+ 16= 72
    72+ 18= 90
    90+ 20= 110
    110+ 22= 132
    132+ 24= 168
    That's now 182- 168= $14
    So there are those 11 payments and a twelfth payment of $14.
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  6. #6
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    Re: 6th grade math help

    Quote Originally Posted by HallsofIvy View Post
    GNUF3, do you understand that you could have done this with a few minutes of integer arithmetic?
    2+ 4= 6
    6+ 6= 12
    12+ 8= 20
    20+ 10= 30
    30+ 12= 42
    42+ 14= 56
    56+ 16= 72
    72+ 18= 90
    90+ 20= 110
    110+ 22= 132
    132+ 24= 168
    That's now 182- 168= $14
    So there are those 11 payments and a twelfth payment of $14.
    The first step should be 0+2=2 as $2 is the first installment.
    also, the second last step should be 132+24=156 and hence the number of months needed is 13, not 12.
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    Re: 6th grade math help

    Thanks all for your help!
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  8. #8
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    Re: 6th grade math help

    There are help tips on gwl10925's profile and a good book for 6th grade at 6th Grade Math by Jessica Corriere Robert Richards (Paperback) - Lulu
    Last edited by GreenAzibo; January 26th 2013 at 02:27 AM. Reason: Spell check
    Thanks from topsquark
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