SOLUTION: You have a total of 25 coins, all nickels ($0.05) and quarters ($0.25). The total value is $3.85. Write and solve a system of equations to find the number of nickels, n, and qua

Question 946870: You have a total of 25 coins, all nickels ($0.05) and quarters ($0.25). The total value is $3.85. Write and solve a system of equations to find the number of nickels, n, and quarters, q
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
You have a total of 25 coins, all nickels ($0.05) and quarters ($0.25). The total value is $3.85. Write and solve a system of equations to find the number of nickels, n, and quarters, q
------------------
Equations:
n + q = 25 coins
5n+25q = 385 cents
------------------------
Modify for elimination::
n + q = 25
n + 5q = 77
-----
Subtract and solve for "q"::
4q = 52
q = 13 (# of quarters)
-----
n = 25-q
n = 12 (# of nickels)
------
Cheers,
Stan H.
---------
RELATED QUESTIONS
You have a total of 25 coins, all nickels and quarters. The total value is $3.85. Write (answered by checkley71)

I am trying to solve the following problem using a system of equations. 1. A... (answered by Edwin McCravy)

Your younger brother is saving up to buy an ipad. He has a total of 25 coins, all nickels (answered by Edwin McCravy)

You have a total or 21 coins, all nickels and dimes. the total value is $1.70. Write and... (answered by checkley75)

Max has 25 coins in his pockets. The total value of all the nickels and quarters is... (answered by Alan3354)

Please Help i'd greatly appreciate it! Bob has a coin jar containing nickels,... (answered by stanbon,Edwin McCravy)

Kevin and Randy muise have a jar containing 49 coins, all of which are either quarters or (answered by CubeyThePenguin)

Jeb has 25 coins. They are all quarters and nickels. He has a total of $2.85. How many (answered by Alan3354)

you have nickels and dimes in your wallet with a total value of $1.10. You have 17 coins... (answered by josmiceli)