at a loading dock, each worker on the night crew loaded 2 / 3 as many boxes as each worker on the day crew. if the night crew has 5 / 6 as many workers as the day crew, what fraction of all the boxes loaded by the two crews did the day crew load? Choose the correct choice from the following answers:
A) 6 / 11  B) 7 / 12  C) 8 / 13  D) 9 / 14  E) 11 / 15
<gadget id="calculator">6 * 3</gadget>
<output>18</output>

<gadget id="calculator">2 * 5</gadget>
<output>10</output>

<gadget id="calculator">18 + 10</gadget>
<output>28</output>

<gadget id="calculator">18 / 28</gadget>
<output>9/14 = around 0.642857</output>

<result>D</result>
at a loading dock, each worker on the night crew loaded 2 / 3 as many boxes as each worker on the day crew. if the night crew has 5 / 6 as many workers as the day crew, what fraction of all the boxes loaded by the two crews did the day crew load?
divide(multiply(6, 3), add(multiply(6, 3), multiply(2, 5)))
let x be the number of workers on the day crew . let y be the number of boxes loaded by each member of the day crew . then the number of boxes loaded by the day crew is xy . the number of boxes loaded by the night crew is ( 5 x / 6 ) ( 2 y / 3 ) = 5 xy / 9 the total number of boxes is xy + 5 xy / 9 = 14 xy / 9 the fraction loaded by the day crew is xy / ( 14 xy / 9 ) = 9 / 14 the answer is d .