A dime weighs 2.5 g. If 1 kg of dimes is collected, what is the total dollar value of these dimes?

• A. 400 dollars
• B. 100 dollars
• C. 250 dollars
• D. 40 dollars

Answer: (D)

Verified step by step guidance

1. Identify the given information: each dime weighs 2.5 g, and the total mass of dimes collected is 1 kg (which is 1000 g).
2. Calculate the number of dimes by dividing the total mass by the mass of one dime using the formula: \(\text{Number of dimes} = \frac{\text{Total mass}}{\text{Mass of one dime}} = \frac{1000\,\text{g}}{2.5\,\text{g}}\).
3. Determine the value of one dime in dollars, which is \$0.10$ dollars per dime.
4. Calculate the total dollar value by multiplying the number of dimes by the value of one dime: \(\text{Total value} = \text{Number of dimes} \times 0.10\) dollars.
5. Interpret the result to find the total dollar value of the collected dimes.