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?
:
Let x = one worker's production
then
{{{1/3}}}x = a second worker's production
and
{{{1/2}}}x = a third worker's production
:
x + {{{1/3}}}x + {{{1/2}}}x = 66
Multiply equation by 6, results:
6x + 2x + 3x = 6(66)
:
11x = 396
x = {{{396/11}}}
x = 36 bu/day is the 1st worker's production
then
{{{1/3}}} * 36 = 12 bu/day is the 2nd workers production
;
:
Check solution
36 + 12 + 18 = 66