document.write( "Question 184253: a collection of dimes and nickels contains 37 coins and has a total value of $2.85.how many of each coin are there in the collection? \n" ); document.write( "
Algebra.Com's Answer #138267 by checkley77(12844)![]() ![]() ![]() You can put this solution on YOUR website! N+D=37 OR N=37-D \n" ); document.write( ".05N+.10D=2.85 \n" ); document.write( "NOW REPLACE N IN THE SECOND EQUATION WITH (37-D) & SOLVE FOR THR NUMBER OF DIMES. \n" ); document.write( ".05(37-D)+.10D=2.85 \n" ); document.write( "1.85-.05D+.10D=2.85 \n" ); document.write( ".05D=2.85-1.85 \n" ); document.write( ".05D=1.00 \n" ); document.write( "D=1.00/.05 \n" ); document.write( "D=20 NUMBER OF DIMES. \n" ); document.write( "N=37-20=17 IS THE NUMBER OF NICKELS. \n" ); document.write( "PROOF: \n" ); document.write( ".05*17+.10*20=2.85 \n" ); document.write( ".85+2.00=2.85 \n" ); document.write( "5.85=5.85 \n" ); document.write( " \n" ); document.write( " |