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?

Algebra.Com
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(52835)   (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?
~~~~~~~~~~~~~~~~~~~~~

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)   (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?
--------------------------------------
Quantity:: n + q = 65 coins
Value:::: 5n+25q = 965 cents
--------------------------
Modify for elimination::
n + q = 65
n + 5q = 193
-------------------------
Subtract and solve for "q"::
4q = 128
----
q = 32 (# of quarters)
-----------------
Cheers,
Stan H.
--------------

RELATED QUESTIONS

A jar filled with only nickels and quarters contains a total of 55 coins. The value of... (answered by Alan3354)
A jar filled with nickels and quarters contains a total of 50 coins. The value of all... (answered by srinivas.g)
A jar filled with only dimes and quarters contains a total of 58 coins. The value of all... (answered by CubeyThePenguin)
Kevin and Randy Muise have a jar containing 65 coins, all of which are either quarters... (answered by Edwin McCravy)
Kevin and Randy Muise have a jar containing 65;coins, all of which are either quarters or (answered by ikleyn)
We have a jar of coins, all nickels and quarters. All together, we have 158 coins, and... (answered by ikleyn)
A jar containing only quarters and dimes. Contains a total of 65 coins. The value of all... (answered by jorel1380)
Molly has a jar with nickels, dimes and quarters in it. The ratio of the number of... (answered by ikleyn)
a jar is filled with a total of 49 coins.The value of all the coins in the jar is $6.65.... (answered by ikleyn)