How much is 3000 pounds of nickels worth? (1 nickel = 5 grams
The Correct Answer and Explanation is:
To calculate the worth of 3,000 pounds of nickels, we first need to determine how many nickels are in 3,000 pounds, then multiply by the value of each nickel.
Step 1: Convert pounds to grams
We know that 1 pound is equal to 453.592 grams. Therefore, to convert 3,000 pounds into grams, we multiply:3000 pounds×453.592 grams/pound=1,360,776 grams3000 \, \text{pounds} \times 453.592 \, \text{grams/pound} = 1,360,776 \, \text{grams}3000pounds×453.592grams/pound=1,360,776grams
Step 2: Determine the number of nickels
Each nickel weighs 5 grams. To find out how many nickels are in 1,360,776 grams, we divide the total grams by the weight of a single nickel:1,360,776 grams÷5 grams/nickel=272,155.2 nickels1,360,776 \, \text{grams} \div 5 \, \text{grams/nickel} = 272,155.2 \, \text{nickels}1,360,776grams÷5grams/nickel=272,155.2nickels
Since we can only have a whole number of nickels, we round this down to 272,155 nickels.
Step 3: Calculate the value of the nickels
Each nickel is worth 5 cents, or $0.05. To find the total value, we multiply the number of nickels by the value of one nickel:272,155 nickels×0.05 dollars/nickel=13,607.75 dollars272,155 \, \text{nickels} \times 0.05 \, \text{dollars/nickel} = 13,607.75 \, \text{dollars}272,155nickels×0.05dollars/nickel=13,607.75dollars
Final Answer:
Therefore, 3,000 pounds of nickels is worth $13,607.75.
Explanation:
The key to solving this problem is understanding that weight and value are proportional. By converting the weight of the nickels into grams and dividing by the weight of a single nickel, we determined the total number of nickels. We then multiplied this by the monetary value of one nickel to find the total worth. Breaking down each unit conversion and calculation step ensures an accurate result.
