swerve wrote:After his death, a farmer left all of his land to his three children. and 25% more than Stephen. If James received 3,600 acres, how many acres did Stephen get?
A. 2,400
B. 3,456
C. 3,600
D. 3,750
E. 4,320
Alfred received 20% more acres of land than James.
If J=100, then A=120.
The following ratio is implied:
A/J = 120/100 = 6/5.
Alfred received 25% more acres 25% than Stephen.
If S=100, then A=125.
The following ratio is implied:
S/A = 100/125 = 4/5.
If James received 3,600 acres, how many acres did Stephen get?
S/J = S/
A * A/J.
In the equation above, the values in red CANCEL OUT.
Substituting S/A = 4/5 and A/J = 6/5 into the equation above, we get:
S/J = (4/5) * (6/5) =
24/25.
Implication of the ratio in blue:
For every 25 acres that J receives, S receives 24 acres.
Thus, the number of acres for S must be just a bit less than the number of acres for J.
Since J=3600, the correct answer must be just a bit less than 3600.
The correct answer is
B.
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