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Multiple Choice
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
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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).
Calculate the number of dimes by dividing the total mass by the mass of one dime using the formula: \(\text{Number of dimes} = \frac{\text{Total mass}}{\text{Mass of one dime}} = \frac{1000\,\text{g}}{2.5\,\text{g}}\).
Determine the value of one dime in dollars, which is \(0.10\) dollars per dime.
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.
Interpret the result to find the total dollar value of the collected dimes.