document.write( "Question 1164285: A box contained some red and green beads . 40% of beads were red. The red beads were increased by 25% and 20% of green beads were removed. As a result there were 200 red beads. How many red beads are there at first?.. \n" ); document.write( "
Algebra.Com's Answer #788595 by ikleyn(52781)![]() ![]() You can put this solution on YOUR website! .\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " It is a tricky problem, since many parts and many input data are unnecessary and were introduced \r \n" ); document.write( "\n" ); document.write( " with the only goal to confuse the reader.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( "Let X be the number of red beads initially.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "When the number of red beads was increased by 25%, the number of red beads became X + 0.25X = 1.25X.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "We are given that this number is 200. So\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " 1.25X = 200; hence, X =\r \n" ); document.write( "\n" ); document.write( "Solved.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "As you see, everything related to green beads is IRRELEVANT.\r \n" ); document.write( "\n" ); document.write( "The info saying \"40% of beads were red\" is irrelevant, too.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Thus to solve the problem, all unnecessary data should be filtered out.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |