SOLUTION: A professor started a project with a group of students, 60% of whom were boys. Due to some unavoidable reasons, sic girls couldn't turn up, so the professor had to make some chang

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: A professor started a project with a group of students, 60% of whom were boys. Due to some unavoidable reasons, sic girls couldn't turn up, so the professor had to make some chang      Log On


   

Question 74447: A professor started a project with a group of students, 60% of whom were boys. Due to some unavoidable reasons, sic girls couldn't turn up, so the professor had to make some changes in the group. He admitted 6 boys. In doing so, the percentage of boys in the project increased to 75%. Find the number of boys and girls involved in the project initally
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
I am assuming that the "sic" girls is actually six.

Let x equal the group size. 60% of the initial group were boys and, after losing six girls and adding 6 boys, the final percentage of boys was 75.

In algebrese : .6x%2B6=.75x or 6=.15x so

x=40

24 boys and 16 girls