Question

I have exactly 12 coins in my pocket worth exactly $1.00. I might have nickels, dimes, and/or quarters. What combination of coins might I have? Find all possibilities.

Answer 1

You can have 8 dimes and 4 nickels.

You can also have 2 quarters and 10 nickels.

Answer 2

10 pennies and 9 dimes = $1

18 nickels and 1 dime = $1

15 pennies, 1 dime, and 3 quarters = $1

10 pennies, 8 nickels, and 1 half dollar = $1

5 pennies, 9 nickels, and 5 dimes = $1

15 pennies, 2 nickels, 1 quarter, and 1 half dollar = $1

10 pennies, 3 nickels, 5 dimes, and 1 quarter = $1

10 pennies, 6 nickels, 1 dime, and 2 quarters = $1

5 pennies, 12 nickels, 1 dime, and 1 quarter = $1