SOLUTION: sam has 24 coins in her bank. she has nickles and quarters that total $2.40. How many of each coin does she have? only an algebraic solution with 2 variables will be accepted
Algebra ->
Customizable Word Problem Solvers
-> Coins
-> SOLUTION: sam has 24 coins in her bank. she has nickles and quarters that total $2.40. How many of each coin does she have? only an algebraic solution with 2 variables will be accepted
Log On
Question 548688: sam has 24 coins in her bank. she has nickles and quarters that total $2.40. How many of each coin does she have? only an algebraic solution with 2 variables will be accepted Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! sam has 24 coins in her bank. she has nickles and quarters that total $2.40. How many of each coin does she have? only an algebraic solution with 2 variables will be accepted
------
Equations:
Quantity: n + q = 24 coins
Value::: 5n +25q=240 cents
-----------------------------
Divide thru the Value Equation by 5:
n + q = 24
n + 5q = 48
----
Subtract and solve for "q":
4q = 24
q = 6 (# of quarters)
-----
Solve for "n":
n + q = 24
n + 6 = 24
n = 18 (# of nickels)
===========================
Cheers,
Stan H.
(