Question

Jeff has ten packages that he wants to mail. Nun identical packages weigh 2 7/8 pounds each. A tenth package weighs two times as much of one of the nine packages. How many packages do all ten packages weigh?

Answer 1

Therefore, all ten packages weigh 31 5/8 pounds.

Explanation:

Each of the nine identical packages weighs 2 7/8 pounds, so their total weight is:

9 x 2 7/8 = 25 7/8 pounds

One of the packages weighs twice as much as one of the identical packages, or:

2 x 2 7/8 = 5 6/8 pounds

The total weight of all ten packages is the sum of the weight of the nine identical packages and the weight of the tenth package:

25 7/8 + 5 6/8 = 31 13/8 pounds

Simplifying, we get:

31 13/8 = 31 5/8 pounds

Therefore, all ten packages weigh 31 5/8 pounds.