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Of the land owned by a farmer, 90 percent

This topic has 1 expert reply and 1 member reply
boomgoesthegmat Senior | Next Rank: 100 Posts Default Avatar
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Of the land owned by a farmer, 90 percent

Post Wed May 04, 2016 4:31 am
Elapsed Time: 00:00
  • Lap #[LAPCOUNT] ([LAPTIME])
    Of the land owned by a farmer, 90 percent was cleared for planting. Of the cleared land, 40 percent was planted with soybeans and 50 percent of the cleared land was planted with wheat. If the remaining 720 acres of cleared land was planted with corn, how many acres did the farmer own?

    A) 5832
    B) 6480
    C) 7200
    D) 8000
    E) 8889

    OA: D

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    Post Wed May 04, 2016 2:43 pm
    Hi boomgoesthegmat,

    You've been posting large blocks of questions, but you haven't discussed any of YOUR attempt at solving them. Why did you get them wrong? What did you miss? What aspect of each question are you really interested in. It's a good bed that all of these questions have been discussed somewhere online already, so what specifically are you looking for when YOU post them?

    This question can be solved by TESTing THE ANSWERS. From the prompt, we know that we're going to be doing a number of small calculations AND we're going to end with 720 acres remaining for corn. Since we're asked for the total number of acres, and the answers are all numbers, we just have to work until we find the one that matches what we've been told. In these situations, it's often best to start with Answer B or D. Between those 2 options, D looks 'nicer'/easier, so let's start there.

    IF....there were 8000 total acres...

    90% was cleared for planting = (.9)(8000) = 7200 acres for planting

    Of that land,
    40% was soybeans = (4.)(7200) = 2880 acres
    50% was wheat = (.5)(7200) = 3600

    2880 + 3600 = 6480

    7200 - 6480 = 720 --> this is an exact match for what we were told, so this MUST be the answer.

    Final Answer: D

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

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    Thanked by: boomgoesthegmat
    OptimusPrep Master | Next Rank: 500 Posts
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    Post Wed May 04, 2016 7:39 pm
    boomgoesthegmat wrote:
    Of the land owned by a farmer, 90 percent was cleared for planting. Of the cleared land, 40 percent was planted with soybeans and 50 percent of the cleared land was planted with wheat. If the remaining 720 acres of cleared land was planted with corn, how many acres did the farmer own?

    A) 5832
    B) 6480
    C) 7200
    D) 8000
    E) 8889

    OA: D
    Assume total land = 100x units
    Cleared for planting = 90x units.

    Land with soybeans planted = .4*90x = 36x
    Land with wheat planted = .5*90x = 45x

    Left over land = 90x - 36x - 45x = 9x

    Given that 9x = 720
    Hence x = 80

    Therefore the total land = 100*80 = 8000 acres.

    Correct Option: D

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