Calculating Combined Weight of Shipments in Pounds and Conversions
To solve this problem, we need to add up the weights of the three shipments. The weights are given in tons, pounds, and ounces, so we'll have to perform the calculations in parts. Here's how we can do it:
First, let's convert the ton to pounds, since 1 ton equals 2,000 pounds.
- The first shipment weighs 1 ton and 115 pounds.
1 ton = 2,000 pounds
Therefore, 1 ton and 115 pounds = 2,000 pounds + 115 pounds = 2,115 pounds
Now we will convert the ounces to pounds, since 1 pound equals 16 ounces.
- The second shipment weighs 1,723 pounds and 7 ounces.
7 ounces = 7/16 = 0.4375 pounds
Therefore, 1,723 pounds and 7 ounces = 1,723 pounds + 0.4375 pounds = 1,723.4375 pounds
- The third shipment weighs 957 pounds and 11 ounces.
11 ounces = 11/16 = 0.6875 pounds
Therefore, 957 pounds and 11 ounces = 957 pounds + 0.6875 pounds = 957.6875 pounds
Now we simply add the weights of the three shipments in pounds:
2,115 pounds (first shipment) + 1,723.4375 pounds (second shipment) + 957.6875 pounds (third shipment) = 4796.125 pounds
The total weight of the three shipments is 4796.125 pounds.
If you want to convert the result back into tons, pounds, and ounces, note that since 1 ton = 2,000 pounds:
4796.125 pounds ÷ 2000 = 2 tons and 796.125 pounds
To extract the ounces from the fractional part of the pounds:
0.125 pounds = 0.125 * 16 ounces = 2 ounces
So the final combined weight of the three shipments is 2 tons, 796 pounds, and 2 ounces.
