document.write( "Question 289014: Mike has 19 coins (nickels, dimes, and quarters) in his piggy bank with a total value of $2.35. There are two more dimes than nickels. How many of each type of cion does mike have?\r
\n" );
document.write( "\n" );
document.write( "Nickels=\r
\n" );
document.write( "\n" );
document.write( "Dimes=\r
\n" );
document.write( "\n" );
document.write( "Quarters= \n" );
document.write( "
Algebra.Com's Answer #209447 by Fombitz(32388)![]() ![]() You can put this solution on YOUR website! N-number of nickels, worth 5 cents each \n" ); document.write( "D-number of dimes, worth 10 cents each \n" ); document.write( "Q-number of quarters, worth 25 cents each \n" ); document.write( ". \n" ); document.write( ". \n" ); document.write( ". \n" ); document.write( "\"Mike has 19 coins\" \n" ); document.write( "1. \n" ); document.write( ". \n" ); document.write( ". \n" ); document.write( ". \n" ); document.write( "\"a total value of $2.35 (235 cents)\" \n" ); document.write( "2. \n" ); document.write( ". \n" ); document.write( ". \n" ); document.write( ". \n" ); document.write( "\"two more dimes than nickels\" \n" ); document.write( "3. \n" ); document.write( "Substitute eq. 3 into 1 and 2. \n" ); document.write( "1. \n" ); document.write( " \n" ); document.write( "We'll call this eq. 4. \n" ); document.write( "4. \n" ); document.write( ". \n" ); document.write( ". \n" ); document.write( ". \n" ); document.write( "2. \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "We'll call this eq. 5. \n" ); document.write( "5. \n" ); document.write( "Now use eq. 4, to get Q in terms of N and substitute into eq. 5. \n" ); document.write( "4. \n" ); document.write( " \n" ); document.write( "5. \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "Now work backwards, \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "And finally, \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "6 nickels, 8 dimes, and 5 quarters. \n" ); document.write( " |