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In a particular house,the bedrooms take up 1/3 of the total floor area, and the living room takes up another 1/5.If the rest of the house has an area of 700 square feet,find the area of the living room and area devoted to bedrooms.

  • math -

    first find the total area, call it t
    1/3 t + 1/5 t = 5/15 t + 3/15 t = 8/15 t
    so the rest is 15/15 t - 8/15 t = 7/15 t
    and we know 7/15 t = 700
    so
    t = 700 * 15 /7 = 1500 ft^2
    bedrooms = 1500/3
    and
    living room = 1500/5

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