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Word Problems

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phoenix9801 Really wants to Beat The GMAT! Default Avatar
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Word Problems Post Sun May 20, 2012 10:20 am
Elapsed Time: 00:00
  • Lap #[LAPCOUNT] ([LAPTIME])
    1-
    The length of the edge of a cube is increased by 3 to yield a cube of volume 343. What was the original length of the edge of the cube?
    a) 4
    b) 5
    c) 6
    d) 7
    e) 8

    2-
    Angel, Tim, and Evangeline decide to buy a $400 television. If Angel pays $20 more than Evangeline, and Tim pays twice as much as Angel, how much does Evangeline spend on the television?
    a) $ 45
    b) $ 65
    c) $ 75
    d) $ 85
    e) $ 105

    3-
    Alan, Jennie, and Samuel decide to buy a fish tank together. Alan agrees to pay three times as much as Jennie, while Samuel pays $90 less than Alan. If they had decided to each pay the same amount, Samuel would have spent $20 less than he does. How much does Jennie pay for the fish tank?
    a) 120
    b) 138
    c) 150
    d) 270
    e) 360

    4-
    Rafa, Roger, and Andy agree to buy a tennis court. Roger agrees to pay 25% more than Andy, and Rafa agrees to pay twice as much as Roger and Andy combined. If the tennis court costs a total of $29,700, how much does Roger pay?
    a)$ 4,400
    b) $ 5,500
    c) $ 9,900
    d) $ 10,000
    e) $ 19,800

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    neelgandham Community Manager
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    Post Sun May 20, 2012 11:04 am
    The length of the edge of a cube is increased by 3 to yield a cube of volume 343. What was the original length of the edge of the cube?

    volume of a cube after the side is increased = side^3 = 343. i.e side = 7
    Length of the new side = 7.
    Length of the new side = 3 + Length of the old side
    7 = 3 + Length of the old side
    Length of the old side = 4

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    neelgandham Community Manager
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    Post Sun May 20, 2012 11:08 am
    Angel, Tim, and Evangeline decide to buy a $400 television. If Angel pays $20 more than Evangeline, and Tim pays twice as much as Angel, how much does Evangeline spend on the television?

    Let the amount Angel pays be A
    Let the amount Tim pays be T
    Let the amount Evangeline pays be E. Then

    A = 20 + E
    T = 2A = 2*(20+E)
    A + T + E = 400.
    So,
    20 + E + 40 + 2E + E = 400
    60 + 4E = 400
    4E = 340
    E = 85

    IMO D

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    Welcome to BEATtheGMAT
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    neelgandham Community Manager
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    Post Sun May 20, 2012 11:14 am
    Alan, Jennie, and Samuel decide to buy a fish tank together. Alan agrees to pay three times as much as Jennie, while Samuel pays $90 less than Alan. If they had decided to each pay the same amount, Samuel would have spent $20 less than he does. How much does Jennie pay for the fish tank?

    Let the amount Alan pays be A
    Let the amount Jennie pays be J
    Let the amount Samuel pays be S. Then

    A = 3J
    S = A - 90 = 3J - 90.
    Total amount to be paid = J + 3J + 3J -90 = 7J - 90. If each paid the same amount then each had to pay (7J-90)/3. In this case Samuel would have spent $20 less, i.e 3J - 90 - 20.
    So,
    (7J-90)/3 = 3J - 110
    7J - 90 = 9J - 330
    2J = 240
    J = 120

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    Anil Gandham
    Welcome to BEATtheGMAT
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    Thanked by: phoenix9801
    neelgandham Community Manager
    Joined
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    Post Sun May 20, 2012 11:19 am
    Rafa, Roger, and Andy agree to buy a tennis court. Roger agrees to pay 25% more than Andy, and Rafa agrees to pay twice as much as Roger and Andy combined. If the tennis court costs a total of $29,700, how much does Roger pay?

    Let the amount Rafa pays be Ra
    Let the amount Roger pays be Ro
    Let the amount Andy pays be A. Then

    Ro = 1.25*A
    Ra = 2*(Ro + A) = 2*(1.25A + A) = 4.5A
    Total amount paid = Ro + Ra + A = 1.25A + 4.5A + A = 29,700.
    6.75A = 29700
    A = $4400
    Amount Roger pays = Ro = 1.25*A = 1.25*4400 = $5500 IMO B

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    Anil Gandham
    Welcome to BEATtheGMAT
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