SOLUTION: A jar filled with only nickels and quarters conatins a total of 65 coins. The value of all the coins in the jar is $9.65. How many quarters are in the jar?

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Question 1063198: A jar filled with only nickels and quarters conatins a total of 65 coins. The value of all the coins in the jar is $9.65. How many quarters are in the jar?
Found 2 solutions by ikleyn, stanbon:
Answer by ikleyn(52824) About Me  (Show Source):
You can put this solution on YOUR website!
.
A jar filled with only nickels and quarters contins a total of 65 coins. The value of all the coins in the jar is $9.65.
How many quarters are in the jar?
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5n + 25*(65-n) = 965 cents.  (n is the number of nickels).


Simplify and solve for n.


Answer.  #nickels = 33,  #quarters = 32.


Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A jar filled with only nickels and quarters contains a total of 65 coins. The value of all the coins in the jar is $9.65. How many quarters are in the jar?
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Quantity:: n + q = 65 coins
Value:::: 5n+25q = 965 cents
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Modify for elimination::
n + q = 65
n + 5q = 193
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Subtract and solve for "q"::
4q = 128
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q = 32 (# of quarters)
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Cheers,
Stan H.
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