An empty wooden vessel weighs 8% 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.  Select the correct option:
A) 3/7 B) 5/9 C) 1/24 D) 4/9 E) 2/5
An empty wooden vessel weighs 8% of its total weight when filled with paint:   Vessel = 0.08(Vessel + Paint);   8V = V + P (so the weight of completely filled vessel is 8V)   P = 7V (so the weight of the paint when the vessels is completely filled is 7V).   The weight of a partially filled vessel is one half that of a completely filled vessel:   V + P' = 1/2*8V;   P' = 3V (so the weight of the paint when the vessels is partially filled is 3V).   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 = 3V/7V = 3/7.   3/7nswer: 3/7.
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An empty wooden vessel weighs 8% 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.