SOLUTION: A vending machine takes quarters, nickels, and dimes. How many possible ways can Deidre use coins to purchase a drink for 60 cents?

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Question 9599: A vending machine takes quarters, nickels, and dimes. How many possible ways can Deidre use coins to purchase a drink for 60 cents?
Found 2 solutions by stanbon, Edwin McCravy:
Answer by stanbon(57250) (Show Source):
You can put this solution on YOUR website!
There is no particular "mathematical" way of working
this problem. You just have to start listing the
various combinations of coins that make the 60 cent
total.
Cheers
Stan H.

Answer by Edwin McCravy(8882) (Show Source):
You can put this solution on YOUR website!
You don't need to list them. You can think through them. If you don't use any quarters, you can use from 0 through 6 dimes and the rest, if any, in nickels. That's 7 ways. If you use 1 quarter you can make the remaining 35 cents by using from 0 through 3 dimes and the rest in nickels. That's 4 ways. If you use 2 quarters you can make the remaining 10 cents with either 1 dime or 2 nickels. That's 2 ways. Answer 7+4+2 = 13 ways. Edwin