A large field of 500 hectares is divided into two parts. The difference of the areas of the two parts is one-fifth of the average of the two areas. What is the area of the smaller part in hectares?
Choose the correct option.
A) 205
B) 215
C) 225
D) 260
E) 270

Rationale: "average of the two areas = 500 / 2 = 250 one - fifth of the average of the two areas = 250 / 5 = 50 ⇒ difference of the two areas = 50 let area of the smaller part = x hectares . then , area of the larger part = x + 50 hectares . = > x + x + 50 = 500 = > 2 x = 450 = > x = 225 answer : c"
Answer: C