document.write( "Question 861362: In a certain class there are 12 boys and 18 girls, if the average of class for an algebra exam is 90 and the boys average score is 87, what is the girls average score.
\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #518974 by veerajgrewal(1)\"\" \"About 
You can put this solution on YOUR website!
Given : Number of Boys= 12, Number of girls = 18
\n" ); document.write( " Average Marks of class = 90, Average marks of boys = 87\r
\n" ); document.write( "\n" ); document.write( "As we know that Average = (Sum of observations)/(Number of observations)\r
\n" ); document.write( "\n" ); document.write( "Now, (Total Marks)/(Total Students) = Avg marks of class
\n" ); document.write( " (Total Marks)/(12 + 18) = 90
\n" ); document.write( " Total Marks = 90*30 = 2700\r
\n" ); document.write( "\n" ); document.write( "Now, (Total Marks of boys)/(Number of Boys)= 87
\n" ); document.write( " (Total Marks of boys)/12= 87
\n" ); document.write( " Total Marks of Boys= 87*12
\n" ); document.write( "therefore, Marks of Boys = 1044
\n" ); document.write( "Now we know , Total Marks of class = Total Marks of Boys + Total Marks of Girls
\n" ); document.write( "Total marks of girls = Total Marks of class - Total Marks of Boys
\n" ); document.write( "Total marks of girls = 2700-1044 = 1656\r
\n" ); document.write( "\n" ); document.write( "Now Average of girls marks = (Total marks of girls)/(Number of girls)
\n" ); document.write( " = 1656/ 18
\n" ); document.write( " = 92
\n" ); document.write( "The answer is 92.
\n" ); document.write( "
\n" ); document.write( "
\n" );