SOLUTION: You have 27 coins consisting of pennies and nickels. The coins total $0.83. How many coins are pennies? How many are nickels?

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Question 720354: You have 27 coins consisting of pennies and nickels. The coins total $0.83. How many coins are pennies? How many are nickels?
Answer by checkley79(3341) About Me  (Show Source):
You can put this solution on YOUR website!
P+N=27
P=27-N
.01P+.05N=0.83
.01(27-N)+.05N=0.83
0.27-.01N+.05N=0.83
.04N=0.83-0.27
.04N=0.56
N=.56/.04
N=14 NICKLES.
P=27-14
P=13 PENNIES.
PROOF:
.01*13+.05*14=0.83
0.13+0.70=0.83
0.83=0.83