an empty wooden vessel weighs 20 % 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
A) 3 / 5 B) 5 / 9 C) 1 / 24 D) 9 / 19 E) 2 / 5
<gadget id="calculator">20 / 2</gadget>
<output>10</output>

<gadget id="calculator">10 - 1</gadget>
<output>9</output>

<gadget id="calculator">20 - 1</gadget>
<output>19</output>

<gadget id="calculator">9 / 19</gadget>
<output>9/19 = around 0.473684</output>

<result>D</result>
an empty wooden vessel weighs 20 % 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.
divide(subtract(divide(20, const_2), const_1), subtract(20, const_1))
an empty wooden vessel weighs 20 % of its total weight when filled with paint : vessel = 0.2 ( vessel + paint ) ; 20 v = v + p ( so the weight of completely filled vessel is 10 v ) p = 19 v ( so the weight of the paint when the vessels is completely filled is 19 v ) . the weight of a partially filled vessel is one half that of a completely filled vessel : v + p ' = 1 / 2 * 20 v ; p ' = 9 v ( so the weight of the paint when the vessels is partially filled is 9 v ) . 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 = 9 v / 19 v = 9 / 19 . answer : d .