An empty wooden vessel weighs 12% 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 correct choice: A) 3/5 B) 5/11 C) 1/24 D) 4/9 E) 2/5
An empty wooden vessel weighs 12% of its total weight when filled with paint:   Vessel = 0.12(Vessel + Paint);   12V = V + P (so the weight of completely filled vessel is 12V)   P = 11V (so the weight of the paint when the vessels is completely filled is 11V).   The weight of a partially filled vessel is one half that of a completely filled vessel:   V + P' = 1/2*12V;   P' = 5V (so the weight of the paint when the vessels is partially filled is 5V).   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 = 5V/11V = 5/11.   Answer: 5/11.
<result>B</result>
An empty wooden vessel weighs 12% 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.