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Of the land owned by a farmer, 90 percent

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Of the land owned by a farmer, 90 percent

by boomgoesthegmat » Wed May 04, 2016 4:31 am

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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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by [email protected] » 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

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by OptimusPrep » 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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