SOLUTION: What would the format be for a problem like this :a collection of nickels and quarters amounts to $2.60. There are 16 coins in all. How many of each coin are there?

Algebra ->  Equations -> SOLUTION: What would the format be for a problem like this :a collection of nickels and quarters amounts to $2.60. There are 16 coins in all. How many of each coin are there?      Log On


   

Question 531008: What would the format be for a problem like this :a collection of nickels and quarters amounts to $2.60. There are 16 coins in all. How many of each coin are there?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
What would the format be for a problem like this :a collection of nickels and quarters amounts to $2.60. There are 16 coins in all.
How many of each coin are there?
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Equations:
n + q = 16 coins
5n + 25q = 260 cents
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Divide thru the lower equation by 5:
n + q = 16
n + 5q = 52
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Subtract and solve for "q":
4q = 36
q = 9 (# of quarters)
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Solve for "n":
n + q = 16
n + 9 = 16
n = 7 (# of nickels)
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cheers,
Stan H.
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