Answer: The net weight of the pigs of the truck is 1 ton 868 pounds 12 ounces.
The weight of the empty truck is 7 tons 254 pounds 10 ounces.
Step-by-step explanation:
Since we have given that
The gross weight of a truck containing 30 pigs = 8 tons 1123 pounds 6 ounces
Average weight of one pig = 95 pounds 10 ounces
Now,
We know that
[tex]1\text{ pound}=16\text{ ounces}[/tex]
So,
[tex]\text{Gross weight of truck containing 30 pigs}\\=8\text{ tones }1123\times 16+6\text{ ounces}\\=8\text{ tons }17974\text{ ounces}[/tex]
Similarly,
[tex]\text{ average weight of one pig }\\=95\times 16+10\text{ ounces}\\=1530\text{ ounces}[/tex]
So, Net weight of the pigs in the truck
[tex]1530\times 30\\ =45900\text{ ounces}\\\\=\frac{45900}{16}\\\\=2868\text{ pounds }12\text{ ounces}\\\\=1\text{ ton }868\text{ pounds }12\text{ ounces }[/tex]
So, the net weight of the pigs of the truck is 1 ton 868 pounds 12 ounces.
Now, we'll find the weight of the empty truck is given by
[tex]\text{Gross weight of a truck containing} -\text{ Net weight of pigs in the truck}\\=8\text{ tons}1123\text{ pounds}6\text{ ounces}-1\text{ton }868\text{ pounds }12\text{ounces}\\=(8\times 2000\times 16+1123\times 16+6)-(1\times 2000\times 16+868\times 16-12)\\=273974\text{ ounces}-45900\text{ ounces}\\=228074\text{ounces }\\=7\text{ tons }254\text{ pounds }10\text{ ounces}[/tex]
Hence, the weight of the empty truck is 7 tons 254 pounds 10 ounces .
