Answer:
40 days
Step-by-step explanation:
Let x represent the number of production days originally required. Then the number of items in the order was
70x
When the production rate was increased to 80 items per day (assuming a "detail" is the same as an "item"), the number of days required for producing that quantity dropped by 5 days. The number actually produced was
80(x -5)
There was no change in order quantity, so these two production quantities are the same value:
70x = 80(x -5)
70x = 80x -400 . . eliminate parentheses
400 = 10x . . . . . . add 400-70x
400/10 = x = 40 . . . . divide by the coefficient of x
The order was originally scheduled to take 40 days.
