SOLUTION: A collection of quarters and nickels is worth $3.70. There are 22 coins in all. How many of each are there?

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Question 69930: A collection of quarters and nickels is worth $3.70. There are 22 coins in all. How many of each are there?
Answer by checkley75(3666) About Me  (Show Source):
You can put this solution on YOUR website!
Q+N=22
Q=22-N
25Q+5N=370 NOW SUBSTITUTE (22-N) FOR N IN THE SECOND EQUATION THUS:
25(22-N)+5N=370
550-25N+5N=370
-20N=370-550
-20N=-180
N=-180/-20
N=9 NUMBER OF NICKELS
Q+9=22
Q=22-9
Q=13 NUMBER OF QUARTERS
PROOF
25*13+5*9=370
325+45=370
370=370