If 7 1/4 boxes of parts weigh a total of 68 7/8 pounds, what does one box of parts weigh?

Solution:

Given, weight of 7 1/4 parts of boxes = 68 7/8 pounds

7 1/4 boxes means [7(4)+1]/4

= 29/4 boxes

68 7/8 pounds means [68(8) + 7] / 8

= (544 + 7) / 8

= 551 / 8 pounds.

So, 29 / 4 boxes weigh 551 / 8 pounds.

Weight of 1 part of box = (551 / 8) / (29 / 4)

= [551 × 4] / [8 × 29]

= 19 / 2

= 9.5 pounds.

Therefore, the weight of one part of the box is 9.5 pounds.

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

Summary:

If 7 1/4 parts of boxes weigh a total of 68 7/8 pounds, the weight of one part of the box is 9.5 pounds.