SOLUTION: A purse contains $4.70 in nickels and quarters. There are 30 coins in all. How many of each kind are there?

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Question 921318: A purse contains $4.70 in nickels and quarters. There are 30 coins in all. How many of each kind are there?
Answer by josgarithmetic(39623) About Me  (Show Source):
You can put this solution on YOUR website!
system%28n%2Bq=30%2C0.05n%2B0.25q=4.70%29

system%28n%2Bq=30%2Cn%2B5q=94%29

Beginning with Elimination Method, you can subtract first equation from second equation, and find q=16.

If you solve that system properly, you should find:
highlight%28q=16%29 and highlight%28n=14%29.
Sixteen quarters and fourteen nickels.

Result Checks are correct to $4.70.