document.write( "Question 827740: A science class has two times as many boys as girls. During the final examination of the year, the girls average 90 points each, and the class as a whole averages 80 points per person. What is the average score of the boys in the class? \n" ); document.write( "
Algebra.Com's Answer #498862 by LinnW(1048)![]() ![]() You can put this solution on YOUR website! n = total students \n" ); document.write( "b = no of boys \n" ); document.write( "g = no of girls \n" ); document.write( "s = boys average score\r \n" ); document.write( "\n" ); document.write( "b + g = n \n" ); document.write( "Since two times as many boys \n" ); document.write( "2g + g = n \n" ); document.write( "3g = n\r \n" ); document.write( "\n" ); document.write( "80n = 90g + s*b \n" ); document.write( "Substitute 3g for n and 2g for b \n" ); document.write( "80(3g) = 90g + s(2g) \n" ); document.write( "240g = 90g + (2s)g \n" ); document.write( "240g = (90 + 2s)g \n" ); document.write( "divide each side by g \n" ); document.write( "240 = 90 + 2s \n" ); document.write( "subtract 90 from each side \n" ); document.write( "150 = 2s \n" ); document.write( "divide each side by 2 \n" ); document.write( "75 = s \n" ); document.write( "The average boy score is 75 \n" ); document.write( " \n" ); document.write( " |