document.write( "Question 83718: The average weight for a group of 20 women is 130 pounds. If the average weight for 3/4 of these women was 140 pounds, what was the average weight, in pounds, for the rest of the women? \r
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document.write( "I know the answer is 100 but I can't figure out how I got. It might not be 100? \n" );
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Algebra.Com's Answer #60202 by checkley75(3666)![]() ![]() ![]() You can put this solution on YOUR website! TOTAL WEIGHT OF ALL WOMEN=20*130=2600 POUNDS. \n" ); document.write( "3/4 OR .75 OF THE WOMEN AVERAGE 140 POUNDS. THUS THEY ACCOUNT FOR: \n" ); document.write( ".75*20*140=2100 POUNDS. \n" ); document.write( "THAT LEAVES 2600-2100=500 POUNDS TO DISTRIBUTE AMONG THE REMAINING 1/4 OF THE WOMEN. \n" ); document.write( "1/4*20*X=500 (X BEING THE AVERAGE WEIGHT OF THE REMAINING 1/4. \n" ); document.write( "5X=500 \n" ); document.write( "X=500/5 \n" ); document.write( "X=100 POUNDS IS THE AVERAGE WEIGHT OF THE REMAINING 1/4. \n" ); document.write( "PROOF \n" ); document.write( "3/4*20*140+1/4*20*100=2600 \n" ); document.write( "2100+500=2600 \n" ); document.write( "2600=2600 \n" ); document.write( " |