As a financial expert with a keen interest in currency and its denominations, I often find myself explaining the intricacies of monetary systems to those who are curious about them. When it comes to the question of how many nickels are in a $2, it's a straightforward calculation if we understand the value of a nickel and the total value represented by $2.
A nickel, as the name suggests, is worth five cents, or \( \frac{5}{100} \) of a dollar. To find out how many nickels are in $2, we simply divide the total value of $2 by the value of a single nickel.
\[ \text{Number of nickels in } \$2 = \frac{\$2}{\text{Value of one nickel}} \]
Since one nickel is worth five cents, or \( \frac{5}{100} \) of a dollar, we can express this as:
\[ \text{Number of nickels in } \$2 = \frac{200}{5} \]
Performing the division gives us:
\[ \text{Number of nickels in } \$2 = 40 \]
So, there are 40 nickels in $2.
Now, let's address the additional information provided. It states that there are 40 nickels in a roll of nickels. This is a common way to package coins for easier counting and handling. A roll typically contains 40 coins of the same denomination. If we consider the scenario where Rob has 12 rolls of coins with a total value of $70.00 and he has 3 more rolls of nickels than dimes, we can deduce the following:
- If each roll is worth $5 (since 40 nickels make $2 and 20 nickels would make $1), then 12 rolls would be worth \( 12 \times \$5 = \$60 \).
- Since Rob has a total of $70.00, the remaining $10.00 must be in the form of dimes or quarters, given that the question specifies nickels, dimes, and quarters.
- If we assume the remaining $10.00 is all in dimes (which are worth 10 cents each), then Rob would have \( \frac{\$10}{0.10} = 100 \) dimes.
- Since Rob has 3 more rolls of nickels than dimes, and each roll contains 40 coins, he would have \( 100 \div 40 = 2.5 \) rolls of dimes, which is not possible since you can't have half a roll. This suggests that the remaining $10.00 is not all in dimes, and there must be some quarters involved as well.
- To have an integer number of rolls, we would need to consider a combination of dimes and quarters. However, without additional information, we cannot determine the exact distribution of dimes and quarters.
In conclusion, the calculation of nickels in $2 is a simple arithmetic problem that yields a straightforward answer of 40 nickels. The additional information provided offers a more complex scenario that requires a bit of logical deduction and understanding of coin denominations and their packaging.
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