document.write( "Question 917735: In a class 40% are girls and the rest are boys. If 15 girls are added in the class,then 52% girls would be there. Find the number of boys and girls in the beginning? \n" ); document.write( "
Algebra.Com's Answer #556778 by josgarithmetic(39620)\"\" \"About 
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x for girls, y for boys\r
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\n" ); document.write( "\n" ); document.write( "system(x/(x+y)=0.4,y/(x+y)=0.6)
\n" ); document.write( "but x+y is not known\r
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\n" ); document.write( "\n" ); document.write( "Concentrate just on how many girls.
\n" ); document.write( "Let p be number of students.
\n" ); document.write( "\"x%2Fp=0.4\"\r
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\n" ); document.write( "\n" ); document.write( "Add 15 more girls.
\n" ); document.write( "\"%28x%2B15%29%2F%28p%2B15%29=0.52\"\r
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\n" ); document.write( "\n" ); document.write( "Also you expect \"x%2By=p\"\r
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\n" ); document.write( "\n" ); document.write( "The description gives this system:
\n" ); document.write( "\"highlight_green%28system%28x%2Fp=0.4%2C%28x%2B15%29%2F%28p%2B15%29=0.52%2Cx%2By=p%29%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"system%28x=0.4p%2Cx%2B15=0.52%28p%2B15%29%2Cx%2By=p%29\"
\n" ); document.write( "-
\n" ); document.write( "\"system%28x=0.4p%2Cx%2B15=0.52p%2B7.8%2Cx%2By=p%29\"
\n" ); document.write( "-
\n" ); document.write( "\"highlight_green%28system%28x=0.4p%2Cx%2B7.2=0.52p%2Cx%2By=p%29%29\"\r
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\n" ); document.write( "\n" ); document.write( "Use the first two equations to solve for x and p using substitution.
\n" ); document.write( "\"0.4p%2B7.2=0.52p\"
\n" ); document.write( "\"7.2=0.12p\"
\n" ); document.write( "\"highlight%28p=60%29\"
\n" ); document.write( "-
\n" ); document.write( "\"x=0.4p\"
\n" ); document.write( "\"x=%280.4%29%2860%29\"
\n" ); document.write( "\"highlight%28x=24%29\"\r
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\n" ); document.write( "\n" ); document.write( "Now p and x are known.
\n" ); document.write( "\"x%2By=p\"
\n" ); document.write( "\"y=p-x\"
\n" ); document.write( "\"y=60-24\"
\n" ); document.write( "\"highlight%28y=36%29\"\r
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\n" ); document.write( "\n" ); document.write( "RESULT:
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\n" ); document.write( "Girls,24
\n" ); document.write( "Boys,36
\n" ); document.write( "How Many Students, 60
\n" ); document.write( "-------------------------
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