document.write( "Question 1026972: If I have 78 coins of all nickel and dimes and the value is $6.20. How many nickels and how many dimes do I have? \n" ); document.write( "
Algebra.Com's Answer #642281 by Cromlix(4381) You can put this solution on YOUR website! Hi there, \n" ); document.write( "I have 78 coins of all nickel and dimes. \n" ); document.write( "Make nickels = x \n" ); document.write( "Make dimes = y \n" ); document.write( "x + y = 78.......(1) \n" ); document.write( "the value is $6.20 \n" ); document.write( "5x + 10y = 620...(2) \n" ); document.write( "......... \n" ); document.write( "x + y = 78.......(1) \n" ); document.write( "5x + 10y = 620...(2) \n" ); document.write( "Multiply Eq(1) by 10 \n" ); document.write( "10x + 10y = 780...(1) \n" ); document.write( "5x + 10y = 620....(2) \n" ); document.write( "Subtract Eq(2) from Eq(1) \n" ); document.write( "5x = 160 \n" ); document.write( "x = 32 \n" ); document.write( "Substitute x = 32 into Eq(1) \n" ); document.write( "x + y = 78 \n" ); document.write( "32 + y = 78 \n" ); document.write( "y = 78 - 32 \n" ); document.write( "y = 46 \n" ); document.write( "You have 32 Nickels \n" ); document.write( "and 46 Dimes. \n" ); document.write( "Hope this helps :-) \n" ); document.write( " |