You fail to understand the value of a nickel or a dime. A nickel is 5 cents. A dime is 10 cents. There are 2 nickels to make 1 dime.
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The combinations depend on how many are dimes and how many nickels.
6 dimes, 6 pennies; or 6 dimes, 1 nickel, and a penny.
15 nickels 16 dimes
25 cents.
Your question should really be "How many nickels are 3 dimes worth?". A nickel is 5 cents and 3 dimes are 30 cents, which is the same as 6 nickels (30 / 6) As stated, a nickel can't "fit into" a dime because a dime is smaller than a nickel :)