document.write( "Question 278273: I need to know the linear equation and answer.
\n" ); document.write( "There are only nickels and dimes. There are 40% less dimes than nickels. The total of all coins is $11.00. How many nickels and how many dimes are there?
\n" ); document.write( "Thanks! \n" ); document.write( "
Algebra.Com's Answer #202636 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
There are only nickels and dimes. There are 40% less dimes than nickels.
\n" ); document.write( " The total of all coins is $11.00.
\n" ); document.write( " How many nickels and how many dimes are there?
\n" ); document.write( ":
\n" ); document.write( ".05n + .10d = 11.00
\n" ); document.write( ":
\n" ); document.write( "\"There are 40% less dimes than nickels.\" means
\n" ); document.write( "d = .6n
\n" ); document.write( ":
\n" ); document.write( "Substitute .6n for d
\n" ); document.write( ":
\n" ); document.write( ".05n + .10(.6n) = 11.00
\n" ); document.write( ".05n + .06n = 11
\n" ); document.write( ".11n = 11
\n" ); document.write( "n = 100 nickels
\n" ); document.write( ":
\n" ); document.write( "d = .6(100)
\n" ); document.write( "d = 60 dimes
\n" ); document.write( ":
\n" ); document.write( "Check
\n" ); document.write( ".05(100) + .10(60) =
\n" ); document.write( "5 + 6 = 11 \n" ); document.write( "
\n" );