document.write( "Question 960892: In a class, the number of boys and girls are in ratio 3:2. In a test, the mean score for boys is 70 while the mean score for the whole class is 76. The mean score for girls is ? \n" ); document.write( "
Algebra.Com's Answer #587335 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
In a class, the number of boys and girls are in ratio 3:2.
\n" ); document.write( "Let x = the multiplier
\n" ); document.write( "then
\n" ); document.write( "3x = no. of boys
\n" ); document.write( "2x = no. of girls
\n" ); document.write( "and
\n" ); document.write( "5x = total in the class
\n" ); document.write( ":
\n" ); document.write( "In a test, the mean score for boys is 70 while the mean score for the whole class is 76.
\n" ); document.write( "The total of all the boys scores = 3x(70) = 210x
\n" ); document.write( "The total of all the student scores = 5x(76) = 380x
\n" ); document.write( ":
\n" ); document.write( "\" The mean score for girls is ?\"
\n" ); document.write( "let g = the av girls' score
\n" ); document.write( "then
\n" ); document.write( "2xg = the total of the girls score
\n" ); document.write( ":
\n" ); document.write( "boys total + girls total = class total
\n" ); document.write( "210x + 2gx = 380x
\n" ); document.write( "divide thru by x
\n" ); document.write( "210 + 2g = 380
\n" ); document.write( "2g = 380 - 210
\n" ); document.write( "2g = 170
\n" ); document.write( "g = 170/2
\n" ); document.write( "g = 85% is the average score of the girls
\n" ); document.write( "
\n" ); document.write( "
\n" );