SOLUTION: 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, s

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 2 solutions by lynnlo, stanbon:
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
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Coin Quantity:: n + q = 20 coins
Coin Value:: 5n + 25q = 220 cents
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Modify for elimination::
n + q = 20
n + 5q = 44
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Subtract and solve for "q"::
4q = 24
q = 6 (# of quarters)
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Solve for "n":
n + q = 20
n + 6 = 20
n = 14 (# of nickels)
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Cheers,
Stan H.
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