Question 869744: Polly has 20 coins in quarters and nickels. The total value is 2.20. Set up a system of equations and solve to determine the number of quarters, q, and the number of nickels ,n, she has
Found 3 solutions by lynnlo, stanbon, timofer:
Answer by lynnlo(4176)   (Show Source):
You can put this solution on YOUR website! QUARTERS & NICKELS=TOTAL$2.20
20=COINS
14NICKELS=.70
6QUARTERS=$1.50
EQUATION CAN BE WRITTEN AS:
QXN
6QX$1.50
14N X5
6Q+14N=$2.20
Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! Polly has 20 coins in quarters and nickels. The total value is 2.20. Set up a system of equations and solve to determine the number of quarters, q, and the number of nickels ,n, she has
-----
Coin Quantity:: n + q = 20 coins
Coin Value:: 5n + 25q = 220 cents
-----------------------------------------
Modify for elimination::
n + q = 20
n + 5q = 44
-----
Subtract and solve for "q"::
4q = 24
q = 6 (# of quarters)
-----
Solve for "n":
n + q = 20
n + 6 = 20
n = 14 (# of nickels)
---------------------------
Cheers,
Stan H.
--------------------
Answer by timofer(124) (Show Source):
|
|
|
