If 71/4 boxes of parts weigh a total of 687/8 pounds, what does one box of parts weigh?

To solve this problem, we need to divide the total weight of the 71/4 boxes by the number of boxes.

First, let's convert 71/4 to a mixed number.

71/4 = 17 3/4

Now, let's convert 687/8 to a mixed number.

687/8 = 85 7/8

Next, let's divide the total weight of the boxes by the number of boxes.

Weight of 1 box = (Total weight of boxes) / (Number of boxes)
= 85 7/8 / 17 3/4
= (85 * 8 + 7) / (17 * 4 + 3)
= (680 + 7) / (68 + 3)
= 687 / 71
= 9 6/71

Therefore, one box of parts weighs 9 6/71 pounds.