SOLUTION: mike a salvation army ringer bell ringer has 5 fewer quarters that nickels. If his cup has $5.95 in quarters and nickels , how many nickels does he have.

Algebra ->  Equations -> SOLUTION: mike a salvation army ringer bell ringer has 5 fewer quarters that nickels. If his cup has $5.95 in quarters and nickels , how many nickels does he have.      Log On


   

Question 269743: mike a salvation army ringer bell ringer has 5 fewer quarters that nickels. If his cup has $5.95 in quarters and nickels , how many nickels does he have.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
given:
q+=+n+-+5
(2)5n+%2B+25q+=+595 (in cents)
--------------------------------
n+-+q+=+5
(1)5n+-+5q+=+25
Subtract (1) from (2)
(2)5n+%2B+25q+=+595
(1)-5n+%2B+5q+=+-25
30q+=+570
q+=+19
and, since
q+=+n+-+5
19+=+n+-+5
n+=+19+%2B+5
n+=+24
He has 24 nickels
check:
(1)5n+-+5q+=+25
5%2A24+-+5%2A19+=+25
120+-+95+=+25
25+=+25
OK