SOLUTION: At a certain college, there are 5men to every 6women.If the are 150 more women than men,find the: (1). number of women; (2). total enrolment.

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Question 1167081: At a certain college, there are 5men to every 6women.If the are 150 more women than men,find the:
(1). number of women;
(2). total enrolment.
Found 2 solutions by Theo, greenestamps:
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
let m = the number of men
let w = the number of women.

your ratio is m/w = 5/6

solve for m to get m = 5/6 * w

you are given that there are 150 more women then men.

this leads to w = m + 150

in the equation of m = 5/6 * w, replace w with m + 150 to get m = 5/6 * (m + 150)
multiply both sides of the equation by 6 to get 6m = 5 * (m + 150).
simplify to get 6m = 5m + 750.
subtract 5m from both sides of the equation and simplify to get m = 750.

since the ratio of men to women is 5/6, then the ratio becomes 750/w = 5/6
multiply both sides of that equation by w to get 750 = 5/6 * w
solve for w to get w = 6/5 * 750 = 900.

you have the number of men = 750 and the number of women = 900 for a total enrollment of 1650 at the college.





Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


It is given that the ratio of men to women is 5:6. So let the number of men be 5x and the number of women be 6x. It is one standard way to start working on a problem where a ratio is given.

The number of women is 150 more than the number of men:

6x = 5x+150

It's easy to solve that for x; then use that value to find the number of women (6x) and the total enrollment (6x+5x=11x).