document.write( "Question 1042273: A general loses one sixth of his troops to a deadly virus. Of those that survive the virus, one fourth are killed in battle.
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document.write( "If there are 75 troops remaining, how many were present before the disease struck? \n" );
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Algebra.Com's Answer #657271 by ikleyn(52780)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( "A general loses one sixth of his troops to a deadly virus. Of those that survive the virus, one fourth are killed in battle. \n" ); document.write( "If there are 75 troops remaining, how many were present before the disease struck? \n" ); document.write( "~~~~~~~~~~~~~~~~~~~~~~~~~\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( "x - (x/6) - (1/4)*(x - (x/6)) = 75, or\r\n" ); document.write( "\r\n" ); document.write( "(5/6)x - (1/4)*(5/6)x = 75, or\r\n" ); document.write( "\r\n" ); document.write( "(1 - (1/4))*(5/6)x = 75, or\r\n" ); document.write( "\r\n" ); document.write( "(3/4)*(5/6)x = 75, or\r\n" ); document.write( "\r\n" ); document.write( "x = 75*(6/5)*(4/3) = 120.\r\n" ); document.write( "\r\n" ); document.write( "Answer. 120 troops.\r\n" ); document.write( " \n" ); document.write( " \n" ); document.write( " |