document.write( "Question 391237: A collection of nickels and dimes is worth $3.30. There are 42 coins in all. How many of each kind of coin are there?\r
\n" ); document.write( "\n" ); document.write( "this is the equation i wrote: .05x + .10y = 3.30
\n" ); document.write( " x + y = 42
\n" ); document.write( "

Algebra.Com's Answer #277529 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
A collection of nickels and dimes is worth $3.30. There are 42 coins in all. How many of each kind of coin are there?
\n" ); document.write( "this is the equation i wrote:
\n" ); document.write( ".05x + .10y = 3.30
\n" ); document.write( "x + y = 42
\n" ); document.write( "----
\n" ); document.write( "Multiply thru 1st Eq. by 100.
\n" ); document.write( "Multiply thru 2nd Eq. by 5.
\n" ); document.write( "--------------------
\n" ); document.write( "5x + 10y = 330 cents
\n" ); document.write( "5x + 5y = 5*42
\n" ); document.write( "-----
\n" ); document.write( "Subtract and solve for \"y\":
\n" ); document.write( "5y = 120
\n" ); document.write( "y = 24 (# of dimes)
\n" ); document.write( "---
\n" ); document.write( "Since x+y = 42, x = 42-24 = 18 (# of nickels)
\n" ); document.write( "=================
\n" ); document.write( "Cheers,
\n" ); document.write( "stan H.
\n" ); document.write( "
\n" ); document.write( "
\n" );