document.write( "Question 153324: Joe has a collection of nickels and dimes that is worth $5.65. If the number of dimes were doubled and the number of nickels were increased by 8, the value of the coins would be $10.45. How many dimes does he have? \n" ); document.write( "
Algebra.Com's Answer #112871 by mangopeeler07(462) ![]() You can put this solution on YOUR website! d=number of dimes \n" ); document.write( "n=number of nickels \n" ); document.write( "coefficient= value of the coin\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "value of dime(number of dimes)+value of nickel(number of nickels)=total value \n" ); document.write( "10(d)+5(n)=565\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "10(2d)+5(n+8)=1045------------If the number of dimes were doubled and the number of nickels were increased by 8, the value of the coins would be $10.45.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Distribute \n" ); document.write( "20d+5n+40=1045\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Subtract 40 from both sides \n" ); document.write( "20d+5n=1005 \n" ); document.write( "and \n" ); document.write( "10d+5n=565 both have 5n, so subtract them from each other\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( "10d=440\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Divide both sides by 10 \n" ); document.write( "d=44\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Number of dimes=44 \n" ); document.write( " |