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Three daughters and two sons inherit land from their parents. The olde
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25 Jun 2021, 08:43
25 Jun 2021, 08:43
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Three daughters and two sons inherit land from their parents. The older son inherits 1/4 of the land and the oldest daughter inherits 1/3. The three remaining children equally share the remaining land. What fraction of the land does the younger son inherit?
(A) 1/12
(B) 5/36
(C) 5/21
(D) 7/36
(E) 7/21
(A) 1/12
(B) 5/36
(C) 5/21
(D) 7/36
(E) 7/21
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Three daughters and two sons inherit land from their parents. The olde
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26 Jun 2021, 02:29
26 Jun 2021, 02:29
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Carcass wrote:
Three daughters and two sons inherit land from their parents. The older son inherits 1/4 of the land and the oldest daughter inherits 1/3. The three remaining children equally share the remaining land. What fraction of the land does the younger son inherit?
(A) 1/12
(B) 5/36
(C) 5/21
(D) 7/36
(E) 7/21
(A) 1/12
(B) 5/36
(C) 5/21
(D) 7/36
(E) 7/21
Let the total land be \(x\)
Oldest son inherits \(\frac{x}{4}\)
Oldest daughter inherits \(\frac{x}{3}\)
Remaining land to be divided amongst three children = \(x - (\frac{x}{4} + \frac{x}{3}) = \frac{5x}{12}\)
So, the youngest son inherits = \(\frac{5}{36}\) of the land
Hence, option B
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Re: Three daughters and two sons inherit land from their parents. The olde
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11 Nov 2021, 12:27
11 Nov 2021, 12:27
Carcass wrote:
Three daughters and two sons inherit land from their parents. The older son inherits 1/4 of the land and the oldest daughter inherits 1/3. The three remaining children equally share the remaining land. What fraction of the land does the younger son inherit?
(A) 1/12
(B) 5/36
(C) 5/21
(D) 7/36
(E) 7/21
(A) 1/12
(B) 5/36
(C) 5/21
(D) 7/36
(E) 7/21
For this question it might be useful to assign a "nice" value to the area of the land being distributed among the children.
Let's say there's 36 acres of land.
The older son inherits 1/4 of the land and the oldest daughter inherits 1/3
1/4 of 36 = 9, so the older son inherits 9 acres of land
1/3 of 36 = 12, so the oldest daughter inherits 12 acres of land
So the area of the land remaining = 36 - 9 - 12 = 15 acres
The three remaining children equally share the remaining land.
So the three remaining children are equally sharing the remaining 15 acres
This means each of those remaining children receives 5 acres
What fraction of the land does the younger son inherit?
The younger son receives 5 acres out of the original 36 acres
Fraction = 5/36
Answer: B
