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Of the land owned by a farmer, 90 percent was cleared for planting. Of the cleared land, 40 percent was...

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by AAPL » Thu Feb 06, 2020 4:44 am
Official Guide

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. 5,832
B. 6,480
C. 7,200
D. 8,000
E. 8,889

OA D
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Re: Of the land owned by a farmer, 90 percent was cleared for planting. Of the cleared land, 40 percent was...

by jbryant62 » Thu Feb 06, 2020 6:51 am
AAPL wrote: ↑
Thu Feb 06, 2020 4:44 am
 Official Guide

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. 5,832
B. 6,480
C. 7,200
D. 8,000
E. 8,889

OA D
The farmer planted on 90% of the land. On that 90%, we are told what he planted on 90%, therefore the remaining 720 acres represents the remaining 10% of the 90% he planted on.

.1*.9= .09

720/.09=8000
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Re: Of the land owned by a farmer, 90 percent was cleared for planting. Of the cleared land, 40 percent was...

by swerve » Thu Feb 06, 2020 10:15 am
AAPL wrote: ↑
Thu Feb 06, 2020 4:44 am
 Official Guide

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. 5,832
B. 6,480
C. 7,200
D. 8,000
E. 8,889

OA D
Percentage cleared for planting \(= 90\)
Soybean \(= 40\%\) of \(90 = 36\%\) of total
Wheat \(= 50 \%\) of \(90 =45 \%\) of total
Corn \(= 10 \%\) of \(90 = 9 \%\) of total

Since \(9\%\) of total \(= 720\) acres

Therefore , total land \(= \dfrac{720}{9} \cdot 100 = 8000\) acres \(\Rightarrow\) D
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Re: Of the land owned by a farmer, 90 percent was cleared for planting. Of the cleared land, 40 percent was...

by Scott@TargetTestPrep » Sat Feb 08, 2020 12:37 pm
AAPL wrote: ↑
Thu Feb 06, 2020 4:44 am
 Official Guide

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. 5,832
B. 6,480
C. 7,200
D. 8,000
E. 8,889

OA D
We can start by letting T = the total land owned by the farmer. Since 90% was cleared for farming we can say:

0.9T = cleared for farming

We are next given that of the cleared land, 40 percent was planted with soybeans. This can be represented as:

0.4(0.9T) = planted with soybeans

0.36T = planted with soybeans

Next we are given that 50 percent of the cleared land was planted with wheat. This can be represented as:

0.5(0.9T) = 0.45T

Finally, we are given that the remaining 720 acres of cleared land was planted with corn. Thus, we can create the following equation:

0.36T + 0.45T + 720 = 0.9T

0.81T + 720 = 0.9T

720 = 0.09T

72,000 = 9T

T = 8,000

Answer: D

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