The total enrollment of men and women at the college is; 2280
We are told that there are 7 men for every 5 women.
Thus, let men be represented by m and women represented by w.
Thus;
m/w = 7/5
Thus;
m = 7w/5
Now, there are 380 more men than women. Thus;
m = w + 380
Thus;
w + 380 = 7w/5
Cross multiply to get;
5w + 1900 = 7w
7w - 5w = 1900
2w = 1900
w = 1900/2
w = 950
Thus;
m = 950 + 380
m = 1330
Thus,
Total enrollment = 1330 + 950
Total enrollment = 2280
Rrad more at; https://brainly.com/question/11839247
