SOLUTION: Three workers pick 66 bushels of apples in a day. One of the workers is three times more productive than the second worker and twice as productive as the third worker. How many bus

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Question 209844: Three workers pick 66 bushels of apples in a day. One of the workers is three times more productive than the second worker and twice as productive as the third worker. How many bushels did the second most productive worker pick?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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Three workers pick 66 bushels of apples in a day.
One of the workers is three times more productive than the second worker
and twice as productive as the third worker.
How many bushels did the second most productive worker pick?
:
Let x = one worker's production
then
1%2F3x = a second worker's production
and
1%2F2x = a third worker's production
:
x + 1%2F3x + 1%2F2x = 66
Multiply equation by 6, results:
6x + 2x + 3x = 6(66)
:
11x = 396
x = 396%2F11
x = 36 bu/day is the 1st worker's production
then
1%2F3 * 36 = 12 bu/day is the 2nd workers production
;
:
Check solution
36 + 12 + 18 = 66