SOLUTION: a vending machine accepted any combination of nickles, dimes, and quarters that added to $O.40. how many different combinations of coins were possible?

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Question 626464: a vending machine accepted any combination of nickles, dimes, and quarters that added to $O.40. how many different combinations of coins were possible?
Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!
If you don't use a quarter, you can use 0 through 4 dimes and the rest,
if any, in nickels.  That's 5 ways without using a quarter.

If you use a quarter then the remaining 15 cents can only be made
with a dime and a nickel or 3 nickels.  That's 2 more ways.

Total: 5+2 or 7 combinations of coins.

Edwin