document.write( "Question 1202589: There are 12 male students and 8 female students in a class. On their final math exam, the average score of the female students was 5 points higher than that of the male students. If the average score of all students in the class was 86, what was the average score of the female students?\r
\n" ); document.write( "\n" ); document.write( "(A) 84
\n" ); document.write( "(B) 88
\n" ); document.write( "(C) 89
\n" ); document.write( "(D) 90
\n" ); document.write( "(E) 91
\n" ); document.write( "

Algebra.Com's Answer #837511 by greenestamps(13200)\"\" \"About 
You can put this solution on YOUR website!


\n" ); document.write( "x = average score of female students
\n" ); document.write( "x-5 = average score of male students

\n" ); document.write( "The overall average was 86:

\n" ); document.write( "\"8%28x%29%2B12%28x-5%29=20%2886%29\"
\n" ); document.write( "\"8x%2B12x-60=1720\"
\n" ); document.write( "\"20x=1780\"
\n" ); document.write( "\"x=89\"

\n" ); document.write( "ANSWER: 89

\n" ); document.write( "CHECK: 12(84)+8(89)=1008+712=1720

\n" ); document.write( "
\n" ); document.write( "
\n" );