An empty wooden vessel weighs 16% of its total weight when filled with paint. If the weight of a partially filled vessel is one half that of a completely filled vessel, what fraction of the vessel is filled.
Choose the most appropriate option
A) 3/5  B) 5/9  C) 1/24  D) 4/9  E) 7/15
An empty wooden vessel weighs 16% of its total weight when filled with paint:   Vessel = 0.16(Vessel + Paint);   16V = V + P (so the weight of completely filled vessel is 16V)   P = 15V (so the weight of the paint when the vessels is completely filled is 15V).   The weight of a partially filled vessel is one half that of a completely filled vessel:   V + P' = 1/2*16V;   P' = 7V (so the weight of the paint when the vessels is partially filled is 7V).   What fraction of the vessel is filled?   So, we need to find the ratio of the weight of the paint when the vessel iscompletely filledto the weight of the paint when the vessel ispartially filled:   P'/P = 7V/15V = 7/15.   Answer: 7/15.
<result>E</result>
An empty wooden vessel weighs 16% of its total weight when filled with paint. If the weight of a partially filled vessel is one half that of a completely filled vessel, what fraction of the vessel is filled.