SOLUTION: 450 coins that were pennies and nickels totaled $14.50, How many coins of each type were there?

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Question 617840: 450 coins that were pennies and nickels totaled $14.50, How many coins of each type were there?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +p+ = number of pennies
Let +n+ = number of nickels
given:
(1) +p+%2B+n+=+450+
(2) ++1%2Ap+%2B+5%2An+=+1450+ ( in cents)
----------------
Subtract (1) from (2)
(2) ++1%2Ap+%2B+5%2An+=+1450+
(1) +-p+-+n+=+-450+
+4n+=+1000+
+n+=+250+
and, since
(1) +p+%2B+n+=+450+
(1) +p+%2B+250+=+450+
(1) +p+=+200+
200 pennies
250 nickels