SOLUTION: . Joey has 57 coins in his pocket—all nickels and dimes. He counted the change and came to a total of $4.35. How many each coin does he have?

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Question 1052697: . Joey has 57 coins in his pocket—all nickels and dimes. He counted the change and came to a total of $4.35. How many each coin does he have?
Answer by jorel555(1290) About Me  (Show Source):
You can put this solution on YOUR website!
Let n be nickels, and d be dimes. Then you have two equations:
n+d=57
5n+10d=435
So:
5n+5d=285
5n+10d=435
5d=150
d=30
n=27
Joey has 30 dimes, and 27 nickels. ☺☺☺☺