Farm A had an average output of 300 kgs of wheat per acre.

Farm A had an average output of 300 kgs of wheat per acre. Farm B had an average output of 350 kgs of wheat per acre. It is known that Farm B's area is 20 acres less than Farm A's. It is also known that Farm B in total harvested 2000 kgs of wheat more than Farm A. What is the area of Farm A?

Quiz

Answer/Solution

180 acres

Steps/Work

The area of Farm A = x acres;
The area of Farm B = x-20 acres.
Total output of Farm A = 300x kgs;
Total output of Farm B = 350(x-20) kgs.
Farm B in total harvested 2000 kgs of wheat more than Farm A: 300x+2000=350(x-20) --> x=180 acres.
Answer: E.