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  Choose one:
A) 24  B) 30  C) 32  D) 34  E) 36

Rationale: "solution let the two parts be ( 54 - x ) and x . then , 10 ( 54 - x ) + 22 x = 780 = 12 x = 240 ‹ = › x = 20 . therefore bigger part = ( 54 - x ) = 34 . answer d"
Answer: D