52 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 :
Choose the correct option
A) 30.33
B) 34.44
C) 26.1
D) 28.0
E) 21.0

Rationale: "explanation : let the two parts be ( 52 - x ) and x . then , 10 ( 52 - x ) + 22 x = 780 = > 12 x = 260 = > x = 21.66 . bigger part = ( 52 - x ) = 30.33 . answer : a ) 30.33"
Answer: A