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Last Updated on May 10, 2023
GMAT OFFICIAL GUIDE PS
Solution:
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
