document.write( "Question 1043631: Emily is walking a trail. After walking k percent of the length of the trail. she has 10 km left to go. Which of the following represents the length of the trail?
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document.write( "A) 10(100-k)
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document.write( "B) (100-k)/10
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document.write( "C) (10k)/(100-k)
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document.write( "D) 1000/(100-k) \n" );
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Algebra.Com's Answer #658787 by Boreal(15235) You can put this solution on YOUR website! The trail is x km long \n" ); document.write( "at kx, k <1, there is 10 km left, so x-kx=10. \n" ); document.write( "x(1-k)=10. \n" ); document.write( "x=10/(1-k) \n" ); document.write( "Because this is per cent for k, everything has to be multiplied by 100. \n" ); document.write( "1000/(100-k) would be the answer. \n" ); document.write( "D \n" ); document.write( "Check \n" ); document.write( "Suppose the trail is 25 km long, and she has 10 km left. She has walked 60 per cent of the trail \n" ); document.write( "1000/(100-60)=1000/40=25 km. \n" ); document.write( "------------------------ \n" ); document.write( "If she had walked 20% of the trail and had 10 km left \n" ); document.write( "1000/(100-20)=12.5 km. That would mean she had walked 2.5 km (1/5 of 12.5 or 20%) and had 10 km left. \n" ); document.write( " |