54 is to be divided into two parts such that the sum of 10 times the first and 22 times the second is 780. The bigger part is : Pick one.
A) 33 B) 34 C) 26 D) 28 E) 19

Rationale: "explanation : let the two parts be ( 54 - x ) and x . then , 10 ( 54 - x ) + 22 x = 780 = > 12 x = 240 = > x = 20 . bigger part = ( 54 - x ) = 34 . answer : b ) 34"
Answer: B