Alice has a jar of juice, and she drank 1/6 of the juice for lunch. If Alice drank 2/5 of the remaining juice for dinner, what fraction of the juice was left after dinner? Choose the correct choice from the following
A) 1/2 B) 2/3 C) 1/4 D) 2/5 E) 3/5
Let x be the amount of juice at the beginning.   After lunch, the remaining juice was (5/6)x.   After dinner, the remaining juice was (3/5)(5/6)x = (1/2)x.   The answer is 1/2.
<result>A</result>
Alice has a jar of juice, and she drank 1/6 of the juice for lunch. If Alice drank 2/5 of the remaining juice for dinner, what fraction of the juice was left after dinner?