document.write( "Question 839594: the mean weight of 150 students in a certain class is 30kg. the mean weight of the boys in the class is 40kg and the girls is 25kg.Find the number of the boys and girls in the class
\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #505800 by LinnW(1048)\"\" \"About 
You can put this solution on YOUR website!
Total weight of class = 150*30 = 4500
\n" ); document.write( "Set b = number of boys
\n" ); document.write( " g = number of girls
\n" ); document.write( "40b + 25g = 4500 , 40kg x number of boys + 25kg x number of girs
\n" ); document.write( "also
\n" ); document.write( "30b + 30g = 4500
\n" ); document.write( "Since each left side = 4500,
\n" ); document.write( "30b + 30g = 40b + 25g
\n" ); document.write( "add -30b to each side
\n" ); document.write( "30g = 10b + 25g
\n" ); document.write( "add -25g to each side
\n" ); document.write( "5g = 10b
\n" ); document.write( "g = 2b
\n" ); document.write( "substitute 2b for g in 30b + 30g = 4500
\n" ); document.write( "30b +30(2b) = 4500
\n" ); document.write( "30b + 60b = 4500
\n" ); document.write( "90b = 4500
\n" ); document.write( "divide each side by 90
\n" ); document.write( "b = 50
\n" ); document.write( "since g = 2b,
\n" ); document.write( "g = 100
\n" ); document.write( "
\n" );