document.write( "Question 343440: Liza has 60 coins in her collection. The coin collection consists of nickles, dimes and quarters. She has five fewer quarters than nickles and ten more dimes than quarters. How many coins of each kind does Liza have? Thank you. \n" ); document.write( "
Algebra.Com's Answer #245755 by solver91311(24713)\"\" \"About 
You can put this solution on YOUR website!
\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Let represent the number of nickels.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Let represent the number of dimes.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Let represent the number of quarters.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "And we know:\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "But we also know that\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "and\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "but that means:\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Then substituting:\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Solve for and then the other two values follow directly.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "John
\n" ); document.write( "
\n" ); document.write( "My calculator said it, I believe it, that settles it
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" );