Solve the following??

Question

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 1

24 boys, and 16 girls

T = total number of students

x = number of boy, y=number of girls

x/T  = 60% = .6  so x = 0.6 T

(x+6)/T = 75%  = .76

Sub in for x

(0.6T + 6)/T  = .75

0.6 T + 6 = .75T

6 = (.75 - .6) T   =  .15 T

T = 6/.15 = 40

x = .6 T = 24

x+y = 40,    24 + y = 40,   y = 16