document.write( "Question 1136557: A cashier box has 3 types of coins (nickels, dimes and quarters). There are a total of 88 coins with
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document.write( "a total value of $14.55. If the number of quarters is double that of number of nickels, how many
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document.write( "of each coins are there? \n" );
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Algebra.Com's Answer #754349 by ikleyn(52782)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( " \r\n" ); document.write( "Let N be the number of nickels.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Then the number of quarters is 2N, according to the condition,\r\n" ); document.write( "and the number of dimes is the rest (88 - N - 2N) = 88-3N.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "The \"money\" equation then is\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " 5N + 10*(88-3N) + 25*(2N) = 1455 cents.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Simplify and solve for N\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " 5N + 880 - 30N + 50N = 1455\r\n" ); document.write( "\r\n" ); document.write( " 25N = 1455 - 880\r\n" ); document.write( "\r\n" ); document.write( " 25N = 575 =============> N =\r \n" ); document.write( "\n" ); document.write( "Solved.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "-------------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The lesson to learn from my post is THIS :\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( " This problem is to be solved by reduction to one single equation in one unknown.\r\n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |