Final answer:
To find the total number of audience members at the concert, we set up an equation using the given percentages and the additional numerical fact that there are 126 more women than men. Solving this equation reveals that there are 450 audience members in total.
Step-by-step explanation:
The question asks for the total number of audience members at a concert given that 36% are men and 64% are women, with the women count being 126 more than the men. To solve this, we can set up an equation based on the percentages and the additional information provided.
Let Total be the number of audiences. Then the number of men is 0.36Total and the number of women is 0.64Total. According to the problem, the women audience is 126 more than the men audience. So, we have:
0.64Total = 0.36Total + 126
We can solve this equation by subtracting 0.36Total from both sides:
0.64Total - 0.36Total = 126
0.28Total = 126
Dividing both sides by 0.28 gives us:
Total = 126 / 0.28
Total = 450
Therefore, there are 450 audience members in total at the concert.