document.write( "Question 265453: I have two one-quart jars; the first is filled with water, and the second is empty. I pour half of the water in the first jar into the second, then a third of the water in the second jar into the first, then a fourth of the water in the first jar into the second, then a fifth of the water in the second jar into the first, and so on. How much water is in the first jar after the 10th pour? Express your answer as a common fraction.\r
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Algebra.Com's Answer #195167 by richwmiller(17219)![]() ![]() You can put this solution on YOUR website! I have two one-quart jars; the first is filled with water, and the second is empty. \n" ); document.write( "I pour half of the water in the first jar into the second,\r \n" ); document.write( "\n" ); document.write( "32 0 \n" ); document.write( "16 16\r \n" ); document.write( "\n" ); document.write( " then a third of the water in the second jar into the first, \n" ); document.write( "16+16/3 16-16/3 \n" ); document.write( " then a fourth of the water in the first jar into the second, \n" ); document.write( "3/4(16+16/3) (16-16/3)+1/4(16+16/3) \n" ); document.write( " then a fifth of the water in the second jar into the first, \r \n" ); document.write( "\n" ); document.write( "3/4(16+16/3)+1/5*(16-16/3)+1/4(16+16/3) 4/5*(16-16/3)+1/4(16+16/3) \n" ); document.write( "352/15 and 208/15 \n" ); document.write( "after pour five \n" ); document.write( "and so on. How much water is in the first jar after the 10th pour? Express your answer as a common fraction.\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |