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 10-liter mixture containing 24% 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) 2.8 of 10% , 2.4 of 30% , 4.8 of 50%
B) 5.8 of 10% , 2.8 of 30% , 1.4 of 50%
C) 8.8 of 10% , 0.4 of 30% , 0.8 of 50%
D) 4.8 of 10% , 2.4 of 30% , 2.8 of 50%
E) 5.8 of 10% , 1.4 of 30% , 2.8 of 50%