document.write( "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 \n" ); document.write( "
Algebra.Com's Answer #577639 by stanbon(75887)\"\" \"About 
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
\n" ); document.write( "------------------
\n" ); document.write( "Equations:
\n" ); document.write( "n + q = 25 coins
\n" ); document.write( "5n+25q = 385 cents
\n" ); document.write( "------------------------
\n" ); document.write( "Modify for elimination::
\n" ); document.write( "n + q = 25
\n" ); document.write( "n + 5q = 77
\n" ); document.write( "-----
\n" ); document.write( "Subtract and solve for \"q\"::
\n" ); document.write( "4q = 52
\n" ); document.write( "q = 13 (# of quarters)
\n" ); document.write( "-----
\n" ); document.write( "n = 25-q
\n" ); document.write( "n = 12 (# of nickels)
\n" ); document.write( "------
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
\n" ); document.write( "---------
\n" ); document.write( "
\n" );