document.write( "Question 983941: Confusion with basic division and multiplication.\r
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document.write( "If 8 men can chop 9 cords of wood in 6 hours, how amny hours will it take 4 men to chop 3 cords of wood?\r
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document.write( "I saw an answer to this that went something like\r
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document.write( "8M takes 6H to chop 9C
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document.write( "1M takes (6*8)=48H to chop 9C
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document.write( "1M takes (48/3)=16H to chop 3C
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document.write( "Hence, 4M takes (16/4)=4h to chop 3c
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document.write( "Answer 4 Hours\r
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document.write( "I don't understand any of this. Why is it 6*8? for one person to cut 9C?
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document.write( "then why does the hour change why is 48 then divided by 3? or maybe I copied that wrong?
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document.write( "and finally where does the 16 come from and why is it being divided by 4? It doesn't make sense to me.\r
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document.write( "Please explain
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document.write( "Thanks \n" );
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Algebra.Com's Answer #604735 by macston(5194)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( "One man working one hour is 1 man-hour. \n" ); document.write( "Two men working one hour is 2 man-hours. \n" ); document.write( ". \n" ); document.write( "If 8 men can chop 9 cords of wood in 6 hours, how many hours will it take 4 men to chop 3 cords of wood? \n" ); document.write( ". \n" ); document.write( "8 men working 6 hours is (8men) x (6 hrs)=48 man-hours \n" ); document.write( "48 man hours/9 cords=5.33 man-hours/cord \n" ); document.write( "It takes 5.33 man-hours to chop 1 cord of wood. \n" ); document.write( "To chop 3 cords would take 3 cords x 5.33 man-hours/cord=16 man-hours. \n" ); document.write( "It would take one man 16 hours to chop 3 cords. \n" ); document.write( "For four men to provide 16 man-hours, they must work 4 hours \n" ); document.write( "(16 man-hours/4 men)=4 hours. \n" ); document.write( "So it would take 4 men 4 hours to chop 3 cords. \n" ); document.write( " |