In a room full of men, ¾ of them are married.

There are 6 more married men then unmarried.

How many married men are there?

Set up the equations…

Let m = # of married men

Let u = # of unmarried men

Let t = total # of men.

m = .75t

m = u+6

t = m + u

Now, since

t = m + u

(substitute the m)

t = .75t + u

(solve for u)

u = .25t

Recall

t = m + u

(Now, substitute the m and u)

.75t = .25t + 6

(Solve for t)

.5t = 6

t = 12

(use t to solve for m)

m = .75t

m = .75(12)

m = 9

(use t to solve for u)

u = .25t

u = 3

Unmarried = 3

Married = 9

Total = 12

6 more = check

75% = check