3/7 of the people living in the apartment building are men. 5/8 of the remaining are women. The rest are children. A total of 275 men and wo

Question

3/7 of the people living in the apartment building are men. 5/8 of the remaining are women. The rest are children. A total of 275 men and women live in the building. How many people live the the building altogether?

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Ximena 4 weeks 2021-11-08T14:30:12+00:00 1 Answer 0 views 0

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    2021-11-08T14:32:03+00:00

    people in building —- x (men, women and children)
    children — y
    men + women + children = x
    (3/7)x + (5/8)(4/7)x + y = x
    3x/7 + 5x/14 + y = x
    times 14
    6x + 5x + 14y = 14x
    14y = 3x

    y + 220 =x
    sub into the other one
    14y = 3(y+220)
    11y = 660
    y = 60
    then 14(60) = 3x —> x = 280

    So we have 280 people in the building.

    check: 3/7 of 280 are men = 120
    leaving 160 women and children
    5/8 of these ot 100 are women

    so we have 120 men, 100 women and 60 children!

    hope this is right! have a great. day

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