document.write( "Question 1176305: In a school,1200 of the students are boys,if 50% of the boys and 40% of the girls have paid their school fees. Find the number of girls,given that 46% of the population have paid their school fees. \n" ); document.write( "
Algebra.Com's Answer #802922 by greenestamps(13200)\"\" \"About 
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\n" ); document.write( "The two solutions you have received so far both use 1200 as the total number of students. The problem says the 1200 is the number of boys....

\n" ); document.write( "Let x be the number of girls; then the total number of students is 1200+x.

\n" ); document.write( "50% of the boys plus 40% of the girls is equal to 46% of the total number of students:

\n" ); document.write( "\".50%281200%29%2B.40%28x%29+=+.46%281200%2Bx%29\"
\n" ); document.write( "\"600%2B.40x+=+552%2B.46x\"
\n" ); document.write( "\"48+=+.06x\"
\n" ); document.write( "\"x+=+48%2F.06+=+800\"

\n" ); document.write( "ANSWER: there are 800 girls in the school.

\n" ); document.write( "CHECK:
\n" ); document.write( ".50(1200)+.40(800) = 600+320 = 920
\n" ); document.write( ".46(1200+800) = .46(2000) = 920

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