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 90-liter mixture containing 26% 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) 43.8 of 10% , 15.4 of 30% , 30.8 of 50%
B) 46.8 of 10% , 14.4 of 30% , 28.8 of 50%
C) 49.8 of 10% , 13.4 of 30% , 26.8 of 50%
D) 45.8 of 10% , 15.4 of 30% , 28.8 of 50%
E) 46.8 of 10% , 28.8 of 30% , 14.4 of 50%