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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?

User Hanpan
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1 Answer

4 votes

Answer:

1875 square miles

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

User Saloo
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