3 workers picked 66 bushels of peaches. The 1st worker picked 3 times more than the second worker and 2 times more than the 3rd worker. How many bushels did the second most productive worker pick?
Let the number of bushels picked by the second worker be x. The first worker then picked 3x and the third worker picked x/2.
3x + x + 3x/2 = 66
Add up the terms with x in them and solve for x. It will be an integer in this case.
To solve for x, we need to simplify the equation:
3x + x + 3x/2 = 66
Combining like terms, we get:
(6x + 2x + 3x)/2 = 66
11x/2 = 66
Now, to solve for x, we can multiply both sides of the equation by 2:
11x = 132
Dividing both sides by 11, we get:
x = 12
So, the second worker picked 12 bushels of peaches.