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?
THANK YOU!
Note: this question is miss calculate for 18 karat gold by .0583
This is the correct
22/24 = .917
18/24 = .750
14/24 = .580
1) The 22 karat gold contain more gold
(.917 *73.5) - (.580 *73.5)
= 67.40 - 42.63
= 24.77 ounces
2) The 22 karat gold contain 24.77 more gold.
To determine which statue contains more gold, we need to find the weight of gold in each statue.
Given that the weight of both statues is 73.5 ounces, we can calculate the weight of gold in each statue using the respective karat values provided.
For the 22 karat gold statue:
Weight of gold = Weight of statue * Karat value in decimal form
Weight of gold = 73.5 * 0.917
For the 14 karat gold statue:
Weight of gold = Weight of statue * Karat value in decimal form
Weight of gold = 73.5 * 0.583
By calculating these values, we can compare the weights of gold in each statue.
Therefore, the 22 karat gold statue contains more gold. The next step is to find the difference in weight between the two statues.
Difference in weight = Weight of gold in the 22 karat gold statue - Weight of gold in the 14 karat gold statue.
By performing this calculation, we can determine how much more gold the 22 karat gold statue contains compared to the 14 karat gold statue.