hittingthegmat wrote:At a loading dock each worker on the night crew loaded 3/4 as many boxes as each worker on the day crew. If the night crew has 4/5 as many workers as the day crew, what fraction of all the boxes loaded by the two crews did the day crew load ?
When the answer choices are fractions and there are unknowns in the problem, we can plug in our own values for the unknowns.
...the night crew has 4/5 as many workers as the day crew..
Plug in 5 workers for the day crew, (4/5)*5 = 4 workers for the night crew.
...each worker on the night crew loaded 3/4 as many boxes as each worker on the day crew.
Plug in 4 boxes per worker for the day crew, (3/4)*4 = 3 boxes per worker for the night crew.
Boxes loaded by day crew = 5*4 = 20.
Boxes loaded by night crew = 4*3 = 12.
Total boxes loaded = 20+12 = 32.
Day crew/Total boxes = 20/32 = 10/16 = 5/8.
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