SOLUTION: Eric has 130 coins consisting of nickels and quaters. The coins combined value come to $15.90. Can you please help me find out how manyof each coin eric has.

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Question 127644: Eric has 130 coins consisting of nickels and quaters. The coins combined value come to $15.90. Can you please help me find out how manyof each coin eric has.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
n = number of nickels
q = number of quarters
n+%2B+q+=+130
n+=+130+-+q
5n+%2B+25q+=+1590
Notice that everything in this equation is expressed in pennies
5%28130+-+q%29+%2B+25q+=+1590
650+-+5q+%2B+25q+=+1590
20q+=+1590+-+650
20q+=+940
q+=+47
n+=+130+-+q
n+=+130+-+47
n+=+83
Eric has 83 nickels and 47 quarters
check:
5n+%2B+25q+=+1590
5%2A83+%2B+25%2A47+=+1590
415+%2B+1175+=+1590
1590+=+1590
OK