document.write( "Question 1054602: Devyn has 108 coins in nickels and quarters worth $12.60. Write and solve an equation to determine how many of each coin she has. \n" ); document.write( "

Algebra.Com's Answer #669794 by ikleyn(53764) $\"\"$ $\"About$

You can put this solution on YOUR website!
.
\n" ); document.write( "Devyn has 108 coins in nickels and quarters worth $12.60. Write and solve an equation to determine how many of each coin she has.
\n" ); document.write( "~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "

\r\n" );
document.write( "Let \"n\" be the number of nickels.\r\n" );
document.write( "Then the number of quarters is (108-n).\r\n" );
document.write( "\r\n" );
document.write( "Nickels contribute 5n cents into the total.\r\n" );
document.write( "Quarters contribute 25*(108-n) cents into the total.\r\n" );
document.write( "\r\n" );
document.write( "The \"value\" equation is \r\n" );
document.write( "\r\n" );
document.write( "5n + 25(108-n) = 1260.\r\n" );
document.write( "\r\n" );
document.write( "Simplify and solve for n:\r\n" );
document.write( "\r\n" );
document.write( "5n + 2700 - 25n = 1260,  or\r\n" );
document.write( "\r\n" );
document.write( "-20n = 1260 - 2700,\r\n" );
document.write( "\r\n" );
document.write( "-20n = -1440  --->  n =  = 72.\r\n" );
document.write( "\r\n" );
document.write( "Answer. The number of nickels is 72.\r\n" );
document.write( "        The number of quarters is 108-72 = 36.\r\n" );
document.write( "

\r
\n" ); document.write( "\n" ); document.write( "There is entire bunch of the lessons on coin problems\r
\n" ); document.write( "\n" ); document.write( "    - Coin problems\r
\n" ); document.write( "\n" ); document.write( "    - More Coin problems\r
\n" ); document.write( "\n" ); document.write( "    - Solving coin problems without using equations\r
\n" ); document.write( "\n" ); document.write( "    - Kevin and Randy Muise have a jar containing coins\r
\n" ); document.write( "\n" ); document.write( "    - Typical coin problems from the archive\r
\n" ); document.write( "\n" ); document.write( "    - More complicated coin problems\r
\n" ); document.write( "\n" ); document.write( "in this site.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Read them and become an expert in solution of coin problems.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Also, you have this free of charge online textbook in ALGEBRA-I in this site\r
\n" ); document.write( "\n" ); document.write( "    - ALGEBRA-I - YOUR ONLINE TEXTBOOK.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "The referred lessons are the part of this online textbook under the topic \"Coin problems\".\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );