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