document.write( "Question 1202710: The ratio of boys to girls among the students who signed up for a basketball competition is 4:3. If 3 boys drop out of the competition and 4 girls join, there will be the same number of boys and girls. Evaluate the number of students who signed up for the basketball competition. \n" ); document.write( "
Algebra.Com's Answer #837776 by Edwin McCravy(20056)\"\" \"About 
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document.write( "I think Theo's method is better.  It's easier to set up word problems when\r\n" );
document.write( "you use more than one unknown.  Ikleyn always prefers to use one unknown if\r\n" );
document.write( "possible.  But the system:\r\n" );
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document.write( "\"system%28b%2Fg+=+4%2F3%2C%0D%0A%28b-3%29%2F%28g%2B4%29+=+1%2F1%29\"\r\n" );
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document.write( "is more like what the words say.\r\n" );
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document.write( "Now I would cross-multiply both equations to eliminate fractions:\r\n" );
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document.write( "\"system%283b+=+4g%2C%0D%0Ab-3=+g%2B4%29\"\r\n" );
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document.write( "Simplify the second equation:\r\n" );
document.write( "\"system%283b+=+4g%2C%0D%0Ab=+g%2B7%29\"\r\n" );
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document.write( "Substitute g+7 for b in the first equation:\r\n" );
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document.write( "\"3%28g%2B7%29=4g\"\r\n" );
document.write( "\"3g%2B21=4g\"\r\n" );
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document.write( "\"21=g\"\r\n" );
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document.write( "\"b=21%2B7\"\r\n" );
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document.write( "\"b=28\"\r\n" );
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document.write( "21 girls, 28 boys, 21+28=49 students\r\n" );
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document.write( "Edwin
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