document.write( "Question 1014097: Adnan scores 45% of the marks in an exam and passess by 5 marks.Taimur scores 48% of the marks in the same exam and passes by 32 marks.What are the passing marks in the exam? \n" ); document.write( "
Algebra.Com's Answer #631266 by robertb(5830) You can put this solution on YOUR website! Let t = maximum marks available, and p = passing marks.\r \n" ); document.write( "\n" ); document.write( "Then from the first sentence, we get\r \n" ); document.write( "\n" ); document.write( "0.45t = p + 5. (1)\r \n" ); document.write( "\n" ); document.write( "From the 2nd sentence we obtain\r \n" ); document.write( "\n" ); document.write( "0.48t = p + 32. (2)\r \n" ); document.write( "\n" ); document.write( "subtracting (1) from (2), we get\r \n" ); document.write( "\n" ); document.write( "0.03t = 27\r \n" ); document.write( "\n" ); document.write( "t=27/0.03 = 900, the maximum marks.\r \n" ); document.write( "\n" ); document.write( "Hence, p = 0.45*900 - 5 = 400, by using (1)\r \n" ); document.write( "\n" ); document.write( "Therefore the passing mark is 400.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |