document.write( "Question 1065542: Alycia opens her piggy bank to find only quarters and nickels inside. She counts the coins and finds that she has 57 coins totaling $8.65 How many quarters were in the piggy bank, and how many nickels were in there? \n" ); document.write( "

Algebra.Com's Answer #680714 by ikleyn(52817) $\"\"$ $\"About$

You can put this solution on YOUR website!
.
\n" ); document.write( "Alycia opens her piggy bank to find only quarters and nickels inside. She counts the coins and finds that she has 57 coins totaling $8.65
\n" ); document.write( "How many quarters were in the piggy bank, and how many nickels were in there?
\n" ); document.write( "~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "

\r\n" );
document.write( "Let N = # of nickels.\r\n" );
document.write( "The the number of quarters is (57-N).\r\n" );
document.write( "\r\n" );
document.write( "The \"value\" equation is \r\n" );
document.write( "\r\n" );
document.write( "5N + 25*(57-N) = 865    cents.\r\n" );
document.write( "\r\n" );
document.write( "5N + 1425 - 25N = 865,\r\n" );
document.write( "\r\n" );
document.write( "-20N = 865 - 1425 = -560,\r\n" );
document.write( "\r\n" );
document.write( "N = 560/20 = 28.\r\n" );
document.write( "\r\n" );
document.write( "Answer. 28 nickels and 57 - 28 = 29 quarters.\r\n" );
document.write( "

\r
\n" ); document.write( "\n" ); document.write( "There is entire bunch of 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( "    - Solving coin problems mentally by grouping without using equations\r
\n" ); document.write( "\n" ); document.write( "    - Santa Claus helps solving coin problem\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" );