document.write( "Question 949343: Hi!\r
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document.write( "I have been trying to solve this problem quite a while, and help for solving this would be great. \r
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document.write( "In a strict monarchy there are 100 monks, either senior or junior. If a senior monk is allowed to have 3 slices of break for each meal, and a junior monk is only allowed 1/3 of a slice, and altogether the consume 60 slices of break during lunch, how many senior monks are there?\r
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document.write( "I know that the answer is 10, but I was just wondering how it is possible to come to that answer.\r
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document.write( "Thank you! \n" );
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Algebra.Com's Answer #579575 by macston(5194)![]() ![]() You can put this solution on YOUR website! S=number of senior monks; J=number of junior monks \n" ); document.write( "S+J=100 Subtract S from each side \n" ); document.write( "J=100-S \n" ); document.write( "1/3J+3S=60 Substitute for J. \n" ); document.write( "1/3(100-S)+3S=60 \n" ); document.write( "33 1/3-1/3S+3S=60 Subtract 33 1/3 from each side. \n" ); document.write( "8/3 S=26 2/3 Multiply each side by 3/8. \n" ); document.write( "S=(80/3)*(3/8)=10 ANSWER: There are 10 senior monks. \n" ); document.write( "CHECK: \n" ); document.write( "J=100-2=90 There are 90 junior monks, \n" ); document.write( "1/3J+3S=60 \n" ); document.write( "1/3(90)+3(10)=60 \n" ); document.write( "30+30=60 \n" ); document.write( "60=60\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |