How many liters of a 40% iodine solution need to be mixed with 35 liters of a 20% iodine solution to create a 33% iodine solution? Choose the correct choice from the following
A) 35 B) 49 C) 100 D) 105 E) 122

Rationale: solution 1 : assume the iodine solution to be mixed = x lts . iodine = 0.4 x lts , water = 0.6 x lts . solution 2 : 35 liters of a 20 % iodine solution iodine = 7 lts , water = 28 lts . total iodine = 0.4 x + 7 total water = 0.6 x + 28 the resultant is a 35 % idoine solution . hence ( 0.4 x + 7 ) / ( x + 35 ) = 33 / 100 40 x + 700 = 33 x + 1155 7 x = 855 x = 122 lts correct option : e
Answer: E