Question

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 15 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?
(A) 130 acres
(B) 135 acres
(C) 145 acres
(D) 160 acres​

Answer 1

Answer:

(c) 145 acre

Step-by-step explanation:

Let, the  area of Farm A is x

According to the question,

  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 15 acres less than Farm A's.

∴ The total amount of the wheat harvested in farm B is = (350 × (x - 15)) = (350x - 5250) kgs

∴ The total amount of the wheat harvested in farm A is = (350x - 5250 - 2000) = (350x - 7250) kgs

According to the question,

      300 × x = 350x - 7250

 => 50x = 7250

 => x = $\frac{7250}{50}$ = 145

∴ The  area of Farm A is = 145 acre.