30÷(75%÷( 1-75%)-60%÷( 1-60%))- 10
=30÷(3- 1.5)- 10
=20- 10
= 10 (person)
Explanation: After adding 10 girls to the math interest group in a school, the number of boys is 60%←( 1-60%)= 1.5 times.
After adding 30 boys, the number of boys is 75%⊙( 1-75%)= three times that of girls.
(Adding 30 boys) corresponds to (3-10) times the number of girls after adding10 girls.
So after adding 10 girls, the number of girls is 30÷(3- 1.5)=20.
Number of female students 10 (person)
The initial number of boys is:
(10+10) x (60% ÷1-60%) = = 20x1.5 = 30 (person)