document.write( "Question 981206: In a school, there are 12% girls. If 5boys and 15girls are newly admitted to the school, the percentage of girls becomes 15. What is the total strength of the school? Z \n" ); document.write( "

Algebra.Com's Answer #602279 by MathTherapy(10552) $\"\"$ $\"About$

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\n" ); document.write( "In a school, there are 12% girls. If 5boys and 15girls are newly admitted to the school, the percentage of girls becomes 15. What is the total strength of the school? Z
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Let number of students in school be S
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document.write( "If originally there were 12% girls, then original number of girls was: .12S
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document.write( "After addition of 15 girls, new number of girls = .12S + 15
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document.write( "New number of students: S + 5 + 15, or S + 20
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document.write( "Equation to form: 
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document.write( "This translates to: 
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document.write( " .15(S + 20) = .12S + 15 -------- Cross-multiplying
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document.write( "    .15S + 3 = .12S + 15
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document.write( " .15S - .12S = 15 - 3
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document.write( "        .03S = 12
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document.write( "S, or original number of students = , or  \n" );
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