SOLUTION: I have 12 coins in my pocket all worth $1. All of which are nickels,dimes, and quarters. Find all the possibilities?

Question 875307: I have 12 coins in my pocket all worth $1. All of which are nickels,dimes, and quarters. Find all the possibilities?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
4 quarters already equals $1.00,
so you can't have 4 quarters
-----------------------------
3 quarters leaves 9 coins to make $ .25
9 nickels adds up to $ .45,
so you can't have 3 quarters
-----------------------------
2 quarters leaves 10 coins to make $ .50
That would be 10 nickels
------------------------------------
1 quarter leaves 11 coins to make $ .75
That would be 4 dimes and 7 nickels
---------------------------------
0 quarters leaves 12 coins to make $ 1.00
That is 8 dimes and 4 nickels
---------------------------
n -- d -- q
----------
10 - 0 -- 2
7 -- 4 -- 1
4 -- 8 -- 0
----------------
I'm not sure if zero dimes or zero quarters is allowed
If not, then the only answer is
7 nickels, 4 dimes, and 1 quarter

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