Question

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. $8889$

Answer 1

The correct option is D $8000$

Given,

Land used for Planting Soyabeans and Wheat $=(40\%+50\%)=90\%$

The remaining area of cleared land $=10\%$

So, $720$ acres is equal to $10\%$ of cleared land.

So, the total area of cleared land must be $7200$ acres.

So, $7200$ acres is $90\%$ of total land.

So, the total land area must be $8000$ acres.