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 the gold in an 18 karat gold object, multiply the object's weight by 0.583. A 22 karat gold statue and a 14 karat gold statue both weigh 73.5 ounces. Which one contains more gold? How much more gold does it contain?
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22 karat >> 0.917 * 73.5 = ?
By what do we multiply a 14-karat gold statue?
the problem does not give what to multiply 14 karat by. It is part of what to figure out.
Stop asking stipid
To determine which gold statue contains more gold and calculate the difference in the amount of gold, we'll use the weight of gold formula provided for each karat rating.
First, let's calculate the weight of gold in the 22 karat gold statue:
Weight of gold in the 22 karat gold statue = Weight of statue * 0.917
Weight of gold in the 22 karat gold statue = 73.5 ounces * 0.917 = 67.4055 ounces
Next, let's calculate the weight of gold in the 14 karat gold statue:
Weight of gold in the 14 karat gold statue = Weight of statue * 0.583
Weight of gold in the 14 karat gold statue = 73.5 ounces * 0.583 = 42.7905 ounces
Now, we can compare the weight of gold in both statues:
The 22 karat gold statue contains 67.4055 ounces of gold.
The 14 karat gold statue contains 42.7905 ounces of gold.
Therefore, the 22 karat gold statue contains more gold than the 14 karat gold statue.
To calculate the difference in the amount of gold:
Difference in the weight of gold = Weight of gold in the 22 karat gold statue - Weight of gold in the 14 karat gold statue
Difference in the weight of gold = 67.4055 ounces - 42.7905 ounces = 24.615 ounces
The 22 karat gold statue contains 24.615 ounces of gold more than the 14 karat gold statue.