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)![]() ![]() ![]() 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( " |