Final answer:
To determine the new ratio of women to men at CAU, one must solve the equation 27x/2 = x + 400 for the number of men (x), calculate the number of women, and then find the ratio by dividing the calculated number of women by the number of men.
Step-by-step explanation:
According to the given information, the initial ratio of women to men at CAU is 27 to 2. To find the actual number of women and men when there is an excess of 400 women, we can let the number of men be x and the number of women be 27x/2. Since there are 400 more women than men, the equation representing this scenario is 27x/2 = x + 400. Solving for x will give us the actual number of men, and multiplying by 27/2 will give the actual number of women.
After finding the values of x (men) and the number of women, calculating the new ratio of women to men can be done by dividing the number of women by the number of men. It's important to understand that the terms mean and average are often used interchangeably, and in this context, we are looking for the arithmetic mean of the ratio if needed.