SOLUTION: 2. A professor started a project with a group of students, 60% of whom were boys. Due to some unavoidable reasons, six girls couldn't turn up, so the professor had to make some cha

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: 2. A professor started a project with a group of students, 60% of whom were boys. Due to some unavoidable reasons, six girls couldn't turn up, so the professor had to make some cha      Log On


   

Question 84208: 2. A professor started a project with a group of students, 60% of whom were boys. Due to some unavoidable reasons, six girls couldn't turn up, so the professor had to make some changes in the group. He admitted six 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 initially.
Answer by PS(13) About Me  (Show Source):
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Assume there were x students in the project.
Initially there were 0.6x boys
The professor admits 6 boys - there are now 0.6x + 6 boys.
The percentage of boys is now 75%
0.6x + 6 = 0.75x
Therefore - 0.75x - 0.6x = 6;
0.15x = 6
x = 6%2F0.15
x = 40
So, the number of boys initially was 0.60 * 40 = 24
and the number of girls was 40 - 24 = 16