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24 Sep 2021, 02:15
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C
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Difficulty:
25%
(medium)
Question Stats:
81% (01:58) correct
19%
(03:15)
wrong
based on 31
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A grandson and two granddaughters inherit land from their grandparents. If the grandson inherits 1/4 of the land, and the older daughter inherits 50 percent more land than does the younger daughter, then what fraction of the land does the younger granddaughter inherit?
A. 1/10
B. 1/5
C. 3/10
D. 2/5
E. 1/2
A. 1/10
B. 1/5
C. 3/10
D. 2/5
E. 1/2
24 Sep 2021, 04:11
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Let g be the fraction of land the grandson inherits, o the fraction of land the oldest granddaughter inherits and y the fraction of land the youngest granddaughter inherits.
The grandson inherits 1/4 of the land: g= 1/4
The older granddaughter inherits 50 percent more land than does the younger granddaughter : o = 1.5 (y) = (3/2)y
The sum of all fractions is equal to the unit of land: g + o + y = 1
Let's substitute g by 1/4 and o by the expression found, so we have only y in the equation:
1/4 + (3/2)y + y = 1
Solve for y: y = 3/10.
Answer C
The grandson inherits 1/4 of the land: g= 1/4
The older granddaughter inherits 50 percent more land than does the younger granddaughter : o = 1.5 (y) = (3/2)y
The sum of all fractions is equal to the unit of land: g + o + y = 1
Let's substitute g by 1/4 and o by the expression found, so we have only y in the equation:
1/4 + (3/2)y + y = 1
Solve for y: y = 3/10.
Answer C
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