SOLUTION: List how many different combinations of coins to equal 40 cents

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Question 162507: List how many different combinations of coins to equal 40 cents
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
The coins available are pennies, nickels, dimes, and quarters
Let the letters p,n,d,and q stand for these coins
Each of the following equals 40 cents
---------------------
40p
8n
4d
-------
35p + 1n
30p + 2n
25p + 3n
20p + 4n
15p + 5n
10p + 6n
5p + 7n
30p + 1d
20p + 2d
10p + 3d
15p + 1q
--------
25p + 1n + 1d
20p + 2n + 1d
15p + 3n + 1d
15p + 1n + 2d
10p + 4n + 1d
10p + 2n + 2d
10p + 1n + 1q
5p + 1n + 3d
5p + 3n + 2d
5p + 5n + 1d
5p + 2n + 1q
5p + 1d + 1q
--------
I count 26 ways to make 40 cents with these coins
(unless I missed some)