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If by 500 you mean 500 cents then : 50 dimes or 100 nickels or 20 quarters. If you mean 500 dollars then: 5,000 dimes or 10,000 nickels or 2,000 quarters.
Assuming you mean $80,000,000 - there are 20 nickels in one dollar (5 cents x 20 coins), so there would be 80,000,000 x 20 = 1,600,000,000 nickels.
You could have: 8 nickels and 1 penny or 6 nickels and 11 pennies or 4 nickels and 21 pennies or 2 nickels and 31 pennies. The option of 0 nickels and 41 pennies is excluded by the necessity that the amount is made up of dimes, nickels and pennies; 0 nickels would mean the $1.21 was made up of dimes and pennies only.
A nickel is worth 5 cents. If by "20" you mean 20 cents, you need 20 / 5 = 4 nickels. If you mean 20 dollars, a dollar is 100 cents so $20 = 2000 cents, and you'd need 2000 / 5 = 400 nickels.
Nothing. You found change that people have dropped.