document.write( "Question 1079756: A box contains some red ,yellow and blue counters. The ratio of the number of red counters to that of yellow counters is 2:3. The ratio of the number of blue counters to that of red counters is 4:7. What fraction of the counters are yellow \n" ); document.write( "
Algebra.Com's Answer #694088 by ikleyn(52788)\"\" \"About 
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document.write( "You are given \r\n" );
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document.write( "\"r%2Fy\" = \"2%2F3\"   and   \"b%2Fr\" = \"4%2F7\",   and they want you calculate \"y%2F%28y+%2B+b+%2B+r%29\".\r\n" );
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document.write( "From the condition, \r\n" );
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document.write( "\"y%2Fr\" = \"3%2F2\"   and \"b%2Fr\" = \"4%2F7\".\r\n" );
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document.write( "It implies\r\n" );
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document.write( "\"%28y%2Bb%29%2Fr\" = \"3%2F2+%2B+4%2F7\" = \"21%2F14+%2B+8%2F14\" = \"%2821%2B8%29%2F14\" = \"29%2F14\".\r\n" );
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document.write( "Then \"%28y%2Bb%2Br%29%2Fr\" = \"%28y%2Bb%29%2Fr+%2B+1\" = \"29%2F14%2B1\" = \"%2829%2B14%29%2F14\" = \"43%2F14\".\r\n" );
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document.write( "Thus we have {{r/(y+b+r)}}} = \"14%2F43\",\r\n" );
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document.write( "and the last step is\r\n" );
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document.write( "\"y%2F%28y%2Bb%2Br%29\" = \"%28r%2F%28y%2Bb%2Br%29%29%2A%28y%2Fr%29\" = \"%2814%2F43%29%2A%283%2F2%29\" = \"21%2F43\".\r\n" );
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\n" ); document.write( "\n" ); document.write( "Answer.   \"y%2F%28y+%2B+b+%2B+r%29\" = \"21%2F43\".\r
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