SOLUTION: 18. In a class, there are four more boys than girls.1/3 of the girls and 7/11 of the boys take the train to school. If half of the class take the train, how many boys and girls are

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: 18. In a class, there are four more boys than girls.1/3 of the girls and 7/11 of the boys take the train to school. If half of the class take the train, how many boys and girls are      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 389580: 18. In a class, there are four more boys than girls.1/3 of the girls and 7/11 of the boys take the train to school. If half of the class take the train, how many boys and girls are there in the class?
Answer by sudhanshu_kmr(1152) About Me  (Show Source):
You can put this solution on YOUR website!

Let no. of girls in class is X, then no. of boys is X+4.
thus total 2X+4 students.

according to question, 1/3 of girls and 7/11 of boys form the half of class

X/3 + (X+4)*7/11 = (2X+4)/2


=> [ 11X + 21(X+4) ]/33 = (2X+4)/2
=> ( 32X + 84 )/33 = (2X+4)/2

=> 64X + 168 = 66X + 132
=> 2X = 36
=> X = 36/2 =18

so, 18 girls and 22 boys, total 40.