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OG2015 PS Lois has x dollars

This topic has 4 expert replies and 0 member replies
lionsshare Senior | Next Rank: 100 Posts
Joined
09 Aug 2017
Posted:
62 messages

OG2015 PS Lois has x dollars

Post Wed Sep 13, 2017 9:34 pm
Elapsed Time: 00:00
  • Lap #[LAPCOUNT] ([LAPTIME])
    Lois has x dollars more than Jim has, and together they have a total of y dollars. Which of the following represents the number of dollars that Jim has?

    (A) (y - x)/2
    (B) y - x/2
    (C) y/2 - x
    (D) 2y - x
    (E) y - 2x

    OA: A

    Hi, Experts. Please share the solution to this problem. Thanks.

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    Post Wed Sep 13, 2017 9:43 pm
    lionsshare wrote:
    Lois has x dollars more than Jim has, and together they have a total of y dollars. Which of the following represents the number of dollars that Jim has?

    (A) (y - x)/2
    (B) y - x/2
    (C) y/2 - x
    (D) 2y - x
    (E) y - 2x

    OA: A

    Hi, Experts. Please share the solution to this problem. Thanks.
    Say Lois has $L, and Jim has $J.

    Thus, as per the condition: "Lois has x dollars more than Jim has," we get

    L - J = x ---(1)

    As per the second condition: "together they have a total of y dollars," we get

    L + J = y ---(2)

    Since we want to find out the amount of money Jim has, let's subtract (1) from (2).

    We get (L + J = y) - (L - J = x)

    L + J - L + J = y - x

    2J = y - x

    J = (y - x)/2

    The correct answer: A

    Hope this helps!

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    Post Thu Sep 14, 2017 6:36 am
    lionsshare wrote:
    Lois has x dollars more than Jim has, and together they have a total of y dollars. Which of the following represents the number of dollars that Jim has?

    (A) (y - x)/2
    (B) y - x/2
    (C) y/2 - x
    (D) 2y - x
    (E) y - 2x
    Let J = number of dollars that Jim has

    Lois has x dollars more than Jim has
    So, J + x = number of dollars that Lois has

    Together they have a total of y dollars
    So, (Jim's $) + (Lois' $) = y
    Or: J + (J+x) = y
    Simplify: 2J + x = y

    Which of the following represents the number of dollars that Jim has?
    Solve 2J + x = y for J
    Subtract x from both sides to get: 2J = y - x
    Divide both sides by 2 to get: (y-x)/2

    Answer: A

    Cheers,
    Brent

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    Post Thu Sep 14, 2017 11:19 am
    Hi lionsshare,

    We're told that Lois has X dollars MORE than Jim has and together they have a TOTAL of Y dollars. We're asked for the number of dollars that Jim has. This question can be solved by TESTing VALUES.

    IF....
    Lois has 5 dollars and Jim has 2 dollars, then X = 3 and Y = 7. So we're looking for an answer that equals 2 when we plug in X = 3 and Y = 7... There's only one answer that matches:

    Final Answer: A

    GMAT assassins aren't born, they're made,
    Rich

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    Post Tue Sep 19, 2017 2:54 pm
    lionsshare wrote:
    Lois has x dollars more than Jim has, and together they have a total of y dollars. Which of the following represents the number of dollars that Jim has?

    (A) (y - x)/2
    (B) y - x/2
    (C) y/2 - x
    (D) 2y - x
    (E) y - 2x

    OA: A
    To solve, we will set up two equations. Let's start by defining two variables.

    J = number of dollars Jim has

    L = number of dollars Lois has

    We are given that Lois has x dollars more than Jim. We set up the following equation:

    L = x + J

    We are next given that together they have a total of y dollars. We can set up our second equation:

    J + L = y

    Since we know that L = x + J, we can substitute x + J for L in the second equation, J + L = y.

    Notice that after the substitution, we will only have variables of J, x, and y. Thus, we have:

    J + x + J = y

    2J + x = y

    2J = y - x

    J = (y - x)/2

    Answer: A

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