document.write( "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 \n" ); document.write( "

Algebra.Com's Answer #524375 by stanbon(75887) $\"\"$ $\"About$

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