SOLUTION: Phil has 50 nickels and dimes worth $4.15. How many dimes does he have?

Question 547301: Phil has 50 nickels and dimes worth $4.15. How many dimes does he have?
Answer by mathie123(224) (Show Source): You can put this solution on YOUR website!
Let n be the number of nickels and d be the number of dimes that Phil has.
Since each nickel is worth 5 cents, and each dime is worth 10 cents, we have:
(1)
(Note: we had to use 415 rather than 4.15 since we are counting in cents)
We also know that

(2)
Substituting (2) into (1),

Now substituting this value of d into (2) we get:

So Phil has 17 nickels and 33 dimes.
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