To find the weight of the gold in a 22 karat gold object, multiply the object's weight by 0.917. To find the weight of gold in a 14 karat gold object, multiply the object's weight by 0.583.
Part 1
Which contains more gold, a 22 karat gold object or a 14 karat gold object that each weigh 72.5 ounces?
The 22 karat object contains more gold.
Part 2 out of 2
How much more gold does it contain?
The 22 karat object contains more ounces of gold.
How much more ounces?
To answer Part 1, we need to calculate the weight of gold in each object.
For a 22 karat gold object that weighs 72.5 ounces, we multiply 72.5 by the gold content factor, which is 0.917.
Thus, the weight of gold in the 22 karat gold object is 72.5 * 0.917 = 66.4525 ounces.
For a 14 karat gold object that also weighs 72.5 ounces, we multiply 72.5 by the gold content factor, which is 0.583.
Thus, the weight of gold in the 14 karat gold object is 72.5 * 0.583 = 42.2275 ounces.
To answer Part 2, we need to calculate the difference in weight between the two objects.
The 22 karat gold object has a weight of 66.4525 ounces, while the 14 karat gold object has a weight of 42.2275 ounces.
Subtracting the weight of the 14 karat gold object from the weight of the 22 karat gold object gives us the difference: 66.4525 - 42.2275 = 24.225 ounces.
Therefore, the 22 karat gold object contains 24.225 more ounces of gold than the 14 karat gold object.