document.write( "Question 751202: Mrs Boyd has a desk full of quarters and dimes. If she has a total of 54 coins with a face value of $12.30. How many of each coin does she have? \n" ); document.write( "
Algebra.Com's Answer #457464 by Cromlix(4381)![]() ![]() You can put this solution on YOUR website! x = quarters y = dimes\r \n" ); document.write( "\n" ); document.write( "x + y = 54...(1) \n" ); document.write( "25x + 10y = 1230 ....(2)\r \n" ); document.write( "\n" ); document.write( "Multiply (1) by 10\r \n" ); document.write( "\n" ); document.write( "10x + 10y = 540 ....(3) \n" ); document.write( "25x + 10y = 1230....(2)\r \n" ); document.write( "\n" ); document.write( "Subtract (2) from (3)\r \n" ); document.write( "\n" ); document.write( "15x = 690 \n" ); document.write( " x = 46\r \n" ); document.write( "\n" ); document.write( "substitute x = 46 into Eq (1)\r \n" ); document.write( "\n" ); document.write( "x + y = 54 \n" ); document.write( "46 + y = 54 \n" ); document.write( " y = 54 - 46 \n" ); document.write( " y = 8 \n" ); document.write( "Therefore there are 46 quarters + 8 dimes\r \n" ); document.write( "\n" ); document.write( "Hope this helps \n" ); document.write( ":-) \n" ); document.write( " |