document.write( "Question 1204692: Hi
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document.write( "2 cups 2 saucers and a teapot cost $30.20 A cup costs twice as much as a saucer. The teapot cost $7 more than a saucer. What is the cost of the teapot. Thanks.\r
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document.write( "My son found a solution with fractions. Could I have a second opinion please \n" );
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Algebra.Com's Answer #841135 by ikleyn(52878) You can put this solution on YOUR website! .\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "For this problem, we look for a solution, which is integer number of cents.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "In this problem, the solution CAN NOT be an arbitrary real number, if it is not an integer number of cents.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " Agree ?\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The given problem has no answer for the price in integer number of cents.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So, the problem as posed in the post is DEFECTIVE: it has no a proper solution, at all.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Yes, the formal solution to equations could be obtained and expressed using fractions.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "But at the end a person who solves the problem, must check if the fraction represents \r \n" ); document.write( "\n" ); document.write( "an integer number of cents.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "If not (as in this case), then the formal solution of equations in fractions \r \n" ); document.write( "\n" ); document.write( "is not a solution to the problem.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Is everything clear to you from my explanation ?\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "--------------------\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "In such conditions, it is the student’s a voluntary duty to report to the teacher about the defect found, \n" ); document.write( "and it is the teacher’s duty to inform the author of a textbook and/or the publishing company about this fact.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Usually, the authors are very happy to get a feedback from readers/students,\r \n" ); document.write( "\n" ); document.write( "and are very grateful for noticing their mistakes.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |