In order to finish the order on time the factory was supposed to produce 70 items daily. after hiring three more people they were able to produce 10 more details daily, and completed the order five days ahead of the schedule. how many days was the order supposed to take originally?

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  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.

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step-by-step explanation:

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