The table below provides details regarding the number of men and women working at five distinct corporations (V, W, X, Y, and Z), along with the proportion of total personnel (men + women) who received a promotion at each corporation. Review the dataset to answer the question that follows.

Corporation	Men	Women	% of personnel promoted
V	400	350	40%
W	260	100	80%
X	340	410	60%
Y	200	300	80%
Z	240	360	50%

Note: The total staff size at any corporation is the sum of the men and women working there.

How much greater or smaller is the combined count of promoted personnel from corporations V, W, and Y than the total number of women working in corporations W, X, and Y?

Correct Answer: The correct answer is 178.

To solve this problem, we need to find two quantities from the given dataset and then calculate their difference:

1. The combined count of promoted personnel from corporations V, W, and Y.

2. The total number of women working in corporations W, X, and Y.

Step 1: Calculate the promoted personnel for Corporations V, W, and Y.

The total staff size at any corporation is the sum of the men and women working there.

Corporation V:

Men = 400, Women = 350

$\text{Total personnel in V}=400+350=750$

Percentage promoted = 40%

$\text{Promoted in V}=40\%\times 750=\frac{40}{100}\times 750=300$

Corporation W:

Men = 260, Women = 100

$\text{Total personnel in W}=260+100=360$

Percentage promoted = 80%

$\text{Promoted in W}=80\%\times 360=\frac{80}{100}\times 360=288$

Corporation Y:

Men = 200, Women = 300

$\text{Total personnel in Y}=200+300=500$

Percentage promoted = 80%

$\text{Promoted in Y}=80\%\times 500=\frac{80}{100}\times 500=400$

Now, calculate the combined count of promoted personnel from V, W, and Y:

$\text{Combined promoted personnel (V + W + Y)}=300+288+400=988$

Step 2: Calculate the total number of women working in Corporations W, X, and Y.

From the table, the number of women in each of these corporations is:

Women in Corporation W = 100

Women in Corporation X = 410

Women in Corporation Y = 300

$\text{Total women (W + X + Y)}=100+410+300=810$

Step 3: Calculate the difference.

$\text{Difference}=988-810=178$

Thus, the combined count of promoted personnel from corporations V, W, and Y is greater than the total number of women working in corporations W, X, and Y by 178.