<PRE><B>Question 84208</B>
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 = {{{6/0.15}}}
                       x = 40

So, the number of boys initially was 0.60 * 40 = 24

    and the number of girls was 40 - 24 = 16

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