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Ratio problem

This topic has 2 member replies
gmatme Junior | Next Rank: 30 Posts Default Avatar
Joined
06 Mar 2007
Posted:
18 messages

Ratio problem

Post Sun Mar 18, 2007 8:39 am
Elapsed Time: 00:00
  • Lap #[LAPCOUNT] ([LAPTIME])
    The number of stamps that kaye and Alberto had were in the ratio 5:3 respectively. Afer Kaye gave Alberto 10 of her stamps, the ratio of the number of kaye had to the number Alberto had was 7:5. As a result of this gift, kaye had how many more stamps than Alberto?

    a) 20
    b) 30
    c) 40
    d) 60
    e) 90

    Ans given => C

    K/A = 5/3
    K-10/A+10 = 7/5

    Solving these 2 eq, got K = 175 and A = 105. So, Kaye had 70 more stamps than Alberto? Am i missing something here?

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    jayhawk2001 Community Manager
    Joined
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    Post Sun Mar 18, 2007 8:46 am
    Not sure how you got k = 175. The equations you have are spot on.

    K / A = 5 / 3
    (K-10) / (A+10) = 7 / 5

    5k - 50 = 7A + 70
    5*(5/3)*A - 50 = 7A + 70

    25A - 150 = 21A + 210
    4A = 360
    A = 90
    So K = 150

    After the gift K has 140 and A has 100. So, difference = 40

    gmatme Junior | Next Rank: 30 Posts Default Avatar
    Joined
    06 Mar 2007
    Posted:
    18 messages
    Post Sun Mar 18, 2007 8:50 am
    Silly addition.........! Thanks!

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