document.write( "Question 238216: A coin contains 60 coins, all dimes and quarters. The total amount is $11.40. How many quarters are there?
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Algebra.Com's Answer #175054 by nyc_function(2741)![]() ![]() You can put this solution on YOUR website! There is a typo here.\r \n" ); document.write( "\n" ); document.write( "What do you mean a coin contains 60 coins?\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "==========================================\r \n" ); document.write( "\n" ); document.write( "I got your reply.\r \n" ); document.write( "\n" ); document.write( "When solving coin problems set up a table having number, value and total.\r \n" ); document.write( "\n" ); document.write( "dimes = x\r \n" ); document.write( "\n" ); document.write( "value of a dime = 10 cents\r \n" ); document.write( "\n" ); document.write( "total = 10x\r \n" ); document.write( "\n" ); document.write( "quarters = 60 - x\r \n" ); document.write( "\n" ); document.write( "value of a quarter = 25 cents\r \n" ); document.write( "\n" ); document.write( "total = 25(60 - x)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Our equation is:\r \n" ); document.write( "\n" ); document.write( "10x + 25(60 - x) = 1140\r \n" ); document.write( "\n" ); document.write( "NOTICE: I deleted all decimals by converting each into a whole number.\r \n" ); document.write( "\n" ); document.write( "It's easier working with whole numbers than with decimals.\r \n" ); document.write( "\n" ); document.write( "10x + 1500 - 25x = 1140\r \n" ); document.write( "\n" ); document.write( "-15x = -1500 + 1140\r \n" ); document.write( "\n" ); document.write( "-15x = -360\r \n" ); document.write( "\n" ); document.write( "x = -360/-15\r \n" ); document.write( "\n" ); document.write( "x = 24\r \n" ); document.write( "\n" ); document.write( "Number of quarters = 60 - 24 or 36\r \n" ); document.write( "\n" ); document.write( "Understand?\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |