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 choice from the following.
A) 205  B) 215  C) 225  D) 260  E) 270
Average of the two areas =500/2= 
<gadget id="calculator">500/2</gadget>
<output>250</output>
250   one-fifth of the average of the two areas=250/5= 
<gadget id="calculator">250/5</gadget>
<output>50</output>
50   ⇒ Difference of the two areas=50   Let area of the smaller part =x hectares.   Then, area of the larger part =x+50 hectares.   =&gt;x+x+50=500   =&gt;2x=450   =&gt;x=225   ANSWER:225
<result>C</result>
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?