Three Solutions Contain a Certain Acid

Multiple Choice

Three solutions contain a certain acid. The first contains 10% acid, the second 30%, and the third 50%. A chemist wishes to use all three solutions to obtain a 100-liter mixture containing 28% acid. If the chemist wants to use twice as much of the 50% solution as of the 30% solution, how many liters of each solution should be used?

A) 49 of 10% , 17 of 30% , 34 of 50%
B) 46 of 10% , 36 of 30% , 18 of 50%
C) 45 of 10% , 19 of 30% , 36 of 50%
D) 46 of 10% , 18 of 30% , 36 of 50%
E) 43 of 10% , 19 of 30% , 38 of 50%