document.write( "Question 1067798: Katie has a collection of nickels, dimes and quarters with a total value of $6.10. There are 3 more dimes than nickels and 4 more quarters than nickels, how many of each coin does she have? \n" ); document.write( "

Algebra.Com's Answer #682934 by ikleyn(52778) $\"\"$ $\"About$

You can put this solution on YOUR website!
.
\n" ); document.write( "Katie has a collection of nickels, dimes and quarters with a total value of $6.10.
\n" ); document.write( "There are 3 more dimes than nickels and 4 more quarters than nickels, how many of each coin does she have?
\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 dimes is (N+3) and the number of quarters is (N+4).\r\n" );
document.write( "\r\n" );
document.write( "The nickels contribute 5N        cents to the total.\r\n" );
document.write( "The dimes   contribute 10*(N+3) cents to the total.\r\n" );
document.write( "The dimes   contribute 25*(N+4) cents to the total.\r\n" );
document.write( "\r\n" );
document.write( "The \"value\" equation is\r\n" );
document.write( "\r\n" );
document.write( "5N + 10(N+3) + 25(N+4) = 610 cents,   or\r\n" );
document.write( "\r\n" );
document.write( "5N + 10N + 30 + 25N + 100 = 610,   or\r\n" );
document.write( "\r\n" );
document.write( "40N = 610 - 30 - 100,\r\n" );
document.write( "\r\n" );
document.write( "40N = 480,\r\n" );
document.write( "\r\n" );
document.write( "N =  = 12.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Answer.  12 nickels,   12+3 = 15 dimes  and  12+4 = 16 quarters.\r\n" );
document.write( "

\r
\n" ); document.write( "\n" ); document.write( "Solved.\r
\n" ); document.write( "
\n" ); document.write( "
\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( "    - OVERVIEW of lessons on coin word 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" );