Final answer:
To make a 14 karat gold bracelet weighing 100 grams, you will need 1 gram of 24 karat gold, 77.33 grams of 18 karat gold, and 116 grams of 12 karat gold.
Step-by-step explanation:
To make a 14 karat gold bracelet weighing 100 grams, we need to determine the amount of each type of gold required. 14 karat gold is approximately 58% gold, so the bracelet will have 58 grams of gold. We'll use this information to find the amounts of 24 karat gold, 18 karat gold, and 12 karat gold needed.
To find the amount of 24 karat gold needed, we'll divide the weight of the bracelet (100 grams) by the percentage of gold in 24 karat gold (100%). This gives us 100 / 100 = 1 gram of 24 karat gold.
To find the amount of 18 karat gold needed, we'll divide the weight of the bracelet (100 grams) by the percentage of gold in 18 karat gold (75%). This gives us 100 / 75 * 58 = 77.33 grams of 18 karat gold.
To find the amount of 12 karat gold needed, we'll divide the weight of the bracelet (100 grams) by the percentage of gold in 12 karat gold (50%). This gives us 100 / 50 * 58 = 116 grams of 12 karat gold.