document.write( "Question 1140905: Mandie has enough sheets of paper to give each of her friends 3 sheets and has 31
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document.write( "sheets left over. Alternatively, she could give each friend 4 sheets and have 9 sheets
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document.write( "left over. How many sheets of paper does she have? \n" );
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Algebra.Com's Answer #761451 by ikleyn(52833)![]() ![]() You can put this solution on YOUR website! .\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " This problem is to be solved MENTALLY.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( "From the condition, an attentive reader can notice momentarily, that the number of friends is 31-9 = 22.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Then the number of sheets is 4*22 + 9 = 88+9 = 97. ANSWER\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "CHECK. 22*3+31 = 66 + 31 = 97, the same number. ! Correct !\r\n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( "Solved.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( "Another, formal algebra solution is to write this system of 2 equations\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " X - 3*N = 31, (1)\r\n" ); document.write( " X - 4*N = 9, (2)\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "where X is the number of sheet and N is the number of friends, and solve it by any way.\r\n" ); document.write( "\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |