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

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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

jbryant62 · Answer

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

swerve · Answer

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

Scott@TargetTestPrep · Answer

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

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