document.write( "Question 100404: how do you solve ed has 30coins in nickles and in dimes in all he has 2.10 how many of each coins dose he have \n" ); document.write( "
Algebra.Com's Answer #73097 by ptaylor(2198)![]() ![]() You can put this solution on YOUR website! Let x=number of nickels \n" ); document.write( "Then 30-x=number of dimes\r \n" ); document.write( "\n" ); document.write( "(1) value of the nickels=0.05x \n" ); document.write( "(2) Value of the dimes=0.10(30-x)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Now we are told that (1) +(2)=2.10. So our equation to solve is:\r \n" ); document.write( "\n" ); document.write( "0.05x+0.10(30-x)=2.10 get rid of parens\r \n" ); document.write( "\n" ); document.write( "0.05x+3-0.10x=2.10 subtract 3 from both sides\r \n" ); document.write( "\n" ); document.write( "0.05x+3-3-0.10x=2.10-3 collect like terms\r \n" ); document.write( "\n" ); document.write( "-0.05x=-0.90 divide both sides by -0.05\r \n" ); document.write( "\n" ); document.write( "x=18---------------------------number of nickels\r \n" ); document.write( "\n" ); document.write( "30-x=30-16=12----------------- number of dimes\r \n" ); document.write( "\n" ); document.write( "CK\r \n" ); document.write( "\n" ); document.write( "0.05*18+0.10*12=2.10 \n" ); document.write( "0.9+1.2=2.10 \n" ); document.write( "2.10=2.10\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Hope this helps---ptaylor\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |