SOLUTION: How many ways can you make 25 cents using pennies, nickels, and dimes?

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Question 410333: How many ways can you make 25 cents using pennies, nickels, and dimes?
Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
Just pennies:
1 way: 25 pennies
---------------
pennies and nickels:
4 ways:
1,2 3, or 4 nickels and the rest pennies:
---------------
Just nickels:
1 way
5 nickels
--------------
dimes and the rest pennies:
2 ways
1, or 2 dimes
-------------
dimes and the rest nickels:
2 ways:
1 dime and 3 nickels
2 dimes 1 nickels
------------
the remaining are combinations of pennies, nickels and dimes
(1)
5 pennies
2 nickel
1 dime
(2)
10 pennies
1 nickel
1 dime
------------
Adding up: 12 ways

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