If a single piece weighs 2.3 oz and the gross weight of a mailing is 707 lbs with a tare weight of 125 lbs, how many pieces are in the mailing?

To determine the number of pieces in the mailing, start by calculating the net weight of the mailing after subtracting the tare weight from the gross weight. The gross weight is 707 lbs, and the tare weight (the weight of the mailing container or packaging) is 125 lbs.

First, subtract the tare weight from the gross weight:

707 lbs (gross weight) - 125 lbs (tare weight) = 582 lbs (net weight).

Next, convert the net weight from pounds to ounces since the weight of a single piece is given in ounces. There are 16 ounces in a pound, so:

582 lbs × 16 oz/lb = 9312 oz (net weight).

Now, to find the number of pieces, divide the net weight in ounces by the weight of a single piece:

9312 oz (net weight) ÷ 2.3 oz/piece = 4048.69 pieces.

Since the number of pieces must be a whole number, we round to the nearest whole number, which is 4049. However, looking closely at the options, we see that while 4047 is the closest whole number in terms of how it might be calculated with rounding errors in practical mailing scenarios, the