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math

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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?

  • math - ,

    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

    hope this helps :3

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