How much is 3000 pounds of nickels worth? (1 nickel = 5 grams)
The Correct Answer and Explanation is:
To determine how much 3000 pounds of nickels is worth, we need to break the problem down into manageable steps.
Step 1: Convert Pounds to Grams
We know that 1 nickel weighs 5 grams. First, we need to convert 3000 pounds into grams, since the weight of a nickel is given in grams.
1 pound = 453.592 grams.
So, 3000 pounds = 3000 × 453.592 = 1,360,776 grams.
Step 2: Find the Number of Nickels
If each nickel weighs 5 grams, we can divide the total weight by the weight of one nickel to find how many nickels are in 1,360,776 grams.
1,360,776 grams ÷ 5 grams per nickel = 272,155.2 nickels.
Since we can’t have a fraction of a nickel, we round this down to 272,155 nickels.
Step 3: Calculate the Value of the Nickels
Each nickel is worth 0.05 USD (5 cents). To find the total value, we multiply the number of nickels by the value of one nickel.
272,155 nickels × 0.05 USD = 13,607.75 USD.
Final Answer
The total value of 3000 pounds of nickels is approximately $13,607.75.
Explanation
First, we converted the weight of 3000 pounds into grams, because the weight of a single nickel is given in grams. This allowed us to determine the total mass in grams. Next, we divided that total by the weight of a single nickel to find how many individual nickels fit into that total weight. Finally, by multiplying the number of nickels by the value of a nickel (0.05 USD), we arrived at the total value of the nickels. Thus, 3000 pounds of nickels is worth around $13,607.75.
