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14 November, 15:06

Mom and her siblings have inherited a 30000 (Square miles) of land. She has 9 sisters and 3 brothers. Each brother has inherited double what each sister has inherited. How many (Square miles) of land mom has inherited?

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  1. 14 November, 15:30
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    1875 square miles

    Step-by-step explanation:

    There are a total of 10 women and 3 men. Let's define two variables:

    w: land inherited by a woman m: land inherited by a man

    Given that they inherited a 30000 (square miles) of land and that each brother has inherited double what each sister has inherited, we can establish the next equations:

    2*w = m

    10*w + 3*m = 30000

    Replacing the first equation into the second one, and solving for w:

    10*w + 3*2*w = 30000

    16*w = 30000

    w = 30000/16

    w = 1875 square miles

    Your mom, and all of her sisters, inherited 1875 square miles each
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