document.write( "Question 564104: Joe has a collection of nickels and dimes that is worth $2.15. If the number of dimes was doubled and the number of nickels was increased by 28, the value of the coins would be $4.65. How many nickels and dimes does he have? \n" ); document.write( "
Algebra.Com's Answer #365255 by mananth(16946)![]() ![]() You can put this solution on YOUR website! Nickels -------x \n" ); document.write( "dimes ----------y \n" ); document.write( "5x+10y =215...................(1)\r \n" ); document.write( "\n" ); document.write( "Nickels------x+28 \n" ); document.write( "Dimes---------2y\r \n" ); document.write( "\n" ); document.write( "5(x+28)+10*2y= 465 \n" ); document.write( "5x+140+20y=465\r \n" ); document.write( "\n" ); document.write( "5x+20y=325--------------------(2)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "subtract (2) from (1)\r \n" ); document.write( "\n" ); document.write( "-10y=-110 \n" ); document.write( "/-10 \n" ); document.write( "y=11 dimes \n" ); document.write( "plug y in (1) to get value of x \n" ); document.write( "x=21 nickels\r \n" ); document.write( "\n" ); document.write( "CHECK\r \n" ); document.write( "\n" ); document.write( "21*5+10*11=215 \n" ); document.write( " |