document.write( "Question 1187432: My piggy bank has 28 coins in it that are only nickels, dimes, and quarters. I have $3.25 total.
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document.write( "The number of quarters is one less than the number of nickels.
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document.write( "How many of each coin do I have? \n" );
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Algebra.Com's Answer #818411 by ikleyn(52790)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( "My piggy bank has 28 coins in it that are only nickels, dimes, and quarters. I have $3.25 total. \n" ); document.write( "The number of quarters is one less than the number of nickels. \n" ); document.write( "How many of each coin do I have? \n" ); document.write( "~~~~~~~~~~~~~~~~\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " My loving/preferable method is different.\r \n" ); document.write( "\n" ); document.write( " It uses only one unknown and only one single equation.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( "Let x be the number of nickels.\r\n" ); document.write( "\r\n" ); document.write( "Then the number of quarters is (x-1) and the number of dimes is (28-x - (x-1)) = 29-2x.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Now write the total money equation \r\n" ); document.write( "\r\n" ); document.write( " 5x + 10*(29-2x) + 25*(x-1) = 325 cents.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Simplify and find x\r\n" ); document.write( "\r\n" ); document.write( " 5x - 20x + 25x = 325 - 10*29 + 25\r\n" ); document.write( "\r\n" ); document.write( " 10x = 60\r\n" ); document.write( "\r\n" ); document.write( " x = 60/10 = 6.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "ANSWER. 6 nickels, 6-1 = 5 quarters and the rest coins, 28 - 6 - 5 = 17, are dimes.\r\n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( "Solved (without using any systems of algebraic equations), at the level,\r \n" ); document.write( "\n" ); document.write( "accessible to young beginner students.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "If you want to see million other similar (and different) solved problems, look into my lessons \r \n" ); document.write( "\n" ); document.write( " - Advanced word problems to solve using a single linear equation\r \n" ); document.write( "\n" ); document.write( " - HOW TO algebreze and solve these problems using one equation in one unknown \r \n" ); document.write( "\n" ); document.write( "in this site.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Consider these lessons as your textbook, handbook, guide, tutorials and (free of charge) home teacher.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Happy learning (!)\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |