document.write( "Question 1190227: In a survey of local residents, 1/5 were left-handed and
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document.write( "1/12 were ambidextrous. The rest were right-handed.
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document.write( "What is the ratio of right-handed people to everyone else?
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document.write( "A) 29/37
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document.write( "B) 34/47
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document.write( "C) 39/65
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document.write( "D) 43/17
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document.write( "E) 40/19 \n" );
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Algebra.Com's Answer #821826 by math_tutor2020(3817) ![]() You can put this solution on YOUR website! \n" ); document.write( "Answer: D) 43/17\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Reasoning:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The denominators are 5 and 12, which multiply to 5*12 = 60. This is a common denominator. I'll pick this number as the total number being surveyed.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "If we had 60 residents, then, \n" ); document.write( "1/5 * 60 = 12 are left-handed \n" ); document.write( "1/12 * 60 = 5 are ambidextrous \n" ); document.write( "That leaves \n" ); document.write( "60-12-5 = 43 are right-handed\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "43 people are right-handed, and 60-43 = 17 are not right-handed (or note that 12+5 = 17)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The ratio of right-handers vs everyone else is 43/17 \n" ); document.write( "We can write that as 43:17 which is practically identical notation and means the same exact thing. \n" ); document.write( "The ratio cannot be reduced further because 43 and 17 have no factors in common other than 1. \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " |