document.write( "Question 1179758: there were 24 nickles, dimes, and quarters whose total value equaled $4.25. how many coins of each kind were there if the number of nickels equaled the number of dimes? \n" ); document.write( "
Algebra.Com's Answer #809323 by mananth(16946)![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "there were 24 nickles, dimes, and quarters whose total value equaled $4.25. \r \n" ); document.write( "\n" ); document.write( "n+d+q=24\r \n" ); document.write( "\n" ); document.write( "5n+10d+25q= 425 \n" ); document.write( "n=d\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "n+d+q=24 \n" ); document.write( "d+d+q=24 \n" ); document.write( "2d+q=24\r \n" ); document.write( "\n" ); document.write( "5n+10d+25q= 425 \n" ); document.write( "5d+10d+25q=425 \n" ); document.write( "15d+25q =425\r \n" ); document.write( "\n" ); document.write( " d dimes \n" ); document.write( " q quarters \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "2.00 d + 1.00 q = 24.00 \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "15.00 d + 25.00 q = 425.00 .............2 \n" ); document.write( "Eliminate q \n" ); document.write( "multiply (1)by -25.00 \n" ); document.write( "Multiply (2) by 1.00 \n" ); document.write( "-50.00 d -25.00 q = -600.00 \n" ); document.write( "15.00 d 25.00 q = 425.00 \n" ); document.write( "Add the two equations \n" ); document.write( "-35.00 d = -175.00 \n" ); document.write( "/ -35.00 \n" ); document.write( "d = 5.00 \n" ); document.write( "plug value of d in (1) \n" ); document.write( "2.00 d + 1.00 q = 24.00 \n" ); document.write( "10.00 + 1.00 q = 24.00 \n" ); document.write( " 1.00 q = 14.00 \n" ); document.write( " q = 14.00 \n" ); document.write( "Ans d = 5 \n" ); document.write( " q = 14 \n" ); document.write( " 5 dimes \n" ); document.write( " 14 quarters \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |