Short Answer 
The value of 1 milligram of gold is calculated to be approximately $2.67 by dividing the price of a 15-milligram coin, priced at $40. Consequently, the worth of 14 milligrams of gold is estimated at around $37.38.
Step 1: Calculate the Value of 1 Milligram of Gold
To find the worth of 1 milligram of gold, we start with the information given. A commemorative coin that contains 15 milligrams of gold is priced at $40. To determine the value of a single milligram, we divide the total price by the amount of gold in milligrams:
- Value of 1 milligram = $40 / 15
- This calculation results in approximately $2.67 per milligram of gold.
Step 2: Multiply to Find the Worth of 14 Milligrams
Now that we know the value of 1 milligram, we can easily find the worth of 14 milligrams of gold. We simply need to multiply the value of 1 milligram by 14:
- Worth of 14 milligrams = $2.67 * 14
- This results in approximately $37.38.
Step 3: Conclusion of Calculated Worth
Based on our calculations, we have confirmed the worth of 14 milligrams of 24 karat gold. The final estimated value is derived from the multiplication performed in the previous step:
- The worth of 14 milligrams of gold is approximately $37.38.
- This gives you a clear understanding of how gold value is calculated based on weight.