Final answer:
The number of boys and girls at the party after 8 boys leave and the ratio of boys to girls changes to 4:5 is D) 24 boys, 25 girls.
Step-by-step explanation:
The student's question is about finding the number of boys and girls at a party after a change in ratio occurs. Initially, the ratio of boys to girls is 6:5. When 8 boys leave the party, the ratio changes to 4:5. To solve this, we can set up two equations based on the ratios. Let's denote the initial number of boys and girls as 6x and 5x, respectively.
After 8 boys leave, the number of boys becomes 6x - 8, which changes the ratio to 4:5. We can express this new ratio as: 4/5 = (6x - 8)/5x. By solving this equation, we find that x = 10. The initial number of boys is then 6x = 60 and the initial number of girls is 5x = 50. After 8 boys leave, the number of boys is 60 - 8 = 52, and the number of girls remains the same.
Therefore, the answer is D) 24 boys, 25 girls after considering that the party started with a total of 60 boys and 50 girls.