Mental Floss

Brain Game: 44 cents

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Put on your math shoes and step right into the Friday Free-for-all challenge here at the mentalfloss.com Brain Game. Good luck!

Leonard has exactly 44 cents in his pocket. How many different combinations of pennies, nickels, dimes, and quarters might Leonard have?

Here is the ANSWER.

ANSWER:

31 POSSIBLE COMBINATIONS.

Here they are (penny = 1 cent, nickel = 5 cents, dime = 10 cents, quarter = 25 cents):

44 pennies

39 pennies and 1 nickel

34 pennies and 2 nickels

34 pennies and 1 dime

29 pennies and 3 nickels

29 pennies, 1 nickel, and 1 dime

24 pennies and 4 nickels

24 pennies, 2 nickels, and 1 dime

24 pennies and 2 dimes

19 pennies and 5 nickels

19 pennies, 3 nickels, and 1 dime

19 pennies, 1 nickel, and 2 dimes

19 pennies and 1 quarter

14 pennies and 6 nickels

14 pennies, 4 nickels, and 1 dime

14 pennies, 2 nickels, and 2 dimes

14 pennies and 3 dimes

14 pennies, 1 nickel, and 1 quarter

9 pennies and 7 nickels

9 pennies, 5 nickels, and 1 dime

9 pennies, 3 nickels, and 2 dimes

9 pennies, 1 nickel, and 3 dimes

9 pennies, 2 nickels, and 1 quarter

9 pennies, 1 dime, and 1 quarter

4 pennies and 8 nickels

4 pennies, 6 nickels, and 1 dime

4 pennies, 4 nickels, and 2 dimes

4 pennies, 2 nickels, and 3 dimes

4 pennies and 4 dimes

4 pennies, 3 nickels, and 1 quarter

4 pennies, 1 nickel, 1 dime, and 1 quarter

Thanks for playing, and have a fun and safe weekend.

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