At a certain college, there are 7 men for every 5 women. If there are 440 more men than women, what is the total enrollment?

Answer 1

Let x = multiplier. Thus,
Men = 7x
Women = 5x
The ratio of men to women is still 7 to 5.
Since there are 440 more men than women, we can say that
7x = 5x + 440
Solving for x,
7x - 5x = 440
2x = 440
x = 220
The total men and women is 7x + 5x = 12x. Thus the total is,
total = 12x
total = 12(220)
total = 2640

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