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Fraction question from OG 11

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maxim730 Rising GMAT Star Default Avatar
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Fraction question from OG 11 Post Wed Mar 14, 2007 4:11 am
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    I have a simple math question that I'm trying to convert to a formula

    OG11, problem 155 from DS:

    Q:...if 3 liters of water are added to the bucket when it is half full of water, the amount of water in the bucket will increase by 1/3..

    when they explain the answer they do so this way:

    Q: "when 3 liters are added, the volume of water will increase by 1/3, which is equivalent to multiplying the present value by 4/3"
    3 + 1/2c = 4/3(1/2c)

    I understand the 3 + 1/2c.

    My question to you is.. how is the 4/3 part equivalent to the "increasing by 1/3" part??

    Can anyone give me a simple example demonstrating their reasoning? I'm a bit confused.. I tried to set up a sample problem using the above method but wasn't able to.

    Thanks!!

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    aim-wsc GMAT Titan
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    Post Wed Mar 14, 2007 4:30 am
    maxim730 wrote:
    Q: "when 3 liters are added, the volume of water will increase by 1/3, which is equivalent to multiplying the present value by 4/3"
    since you couldnt get OG explanation, let me use other method.

    when u add 1/3 (ie 0.33) into somethin u actually multiply original value by 1.33. that means 1+1/3 = 4/3

    hope this helps Smile

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    gabriel GMAT Destroyer!
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    Post Wed Mar 14, 2007 4:38 am
    maxim730 wrote:
    I have a simple math question that I'm trying to convert to a formula

    OG11, problem 155 from DS:

    Q:...if 3 liters of water are added to the bucket when it is half full of water, the amount of water in the bucket will increase by 1/3..

    when they explain the answer they do so this way:

    Q: "when 3 liters are added, the volume of water will increase by 1/3, which is equivalent to multiplying the present value by 4/3"
    3 + 1/2c = 4/3(1/2c)

    I understand the 3 + 1/2c.

    My question to you is.. how is the 4/3 part equivalent to the "increasing by 1/3" part??

    Can anyone give me a simple example demonstrating their reasoning? I'm a bit confused.. I tried to set up a sample problem using the above method but wasn't able to.

    Thanks!!
    ..... consider a number 100.... ur asked to increase it by 1/3rd.... the way to do it is add 100*1/3 to 100.... therefore the answer is 100+100/3.... which is equal to 100 ( 1+1/3) ... solve the bracket and u get 100*4/3... hope that helps...

    gabriel GMAT Destroyer!
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    Post Wed Mar 14, 2007 4:42 am
    double post... ignore....

    maxim730 Rising GMAT Star Default Avatar
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    Post Wed Mar 14, 2007 6:25 am
    Makes total sense. Thanks guys. So its like % increase Smile

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