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After his death, a farmer left all of his land to his three children. [#permalink]
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Updated on: 02 Mar 2017, 05:14
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After his death, a farmer left all of his land to his three children. Alfred received 20% more acres of land than James and 25% more than Stephen. If James received 3,600 acres, how many acres did Stephen get? A. 2400 B. 3456 C. 3600 D. 3750 E. 4320 M0717 Attachment:
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Originally posted by onedayill on 04 Jul 2010, 08:47.
Last edited by Bunuel on 02 Mar 2017, 05:14, edited 1 time in total.
Renamed the topic and edited the question.



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Re: After his death, a farmer left all of his land to his three children. [#permalink]
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04 Jul 2010, 09:26
This ones easy.....
Alfred= James *1.20 therefore =3600*1.20=4320
Now Alfred received 25% more than Stephen therefore:
S * 1.25 =4320 S= 4320/1.25 S=3456



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Re: After his death, a farmer left all of his land to his three children. [#permalink]
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04 Jul 2010, 10:53
In order to find the answer, we go through two equations. First, let James = J, Alfred = A, and Stephan = S. Now, with our designated variables in place, we can set up the first equality: A = 1.2 x J = 1.2(3600) = 4320 The next equation requires some rearranging, namely isolating the variable "S" by division: A = 4320 = 1.25 x S S = 4320/1.25 = 3456 acres, hence B.
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Re: After his death, a farmer left all of his land to his three children. [#permalink]
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04 Jul 2010, 15:06
Alfred= 1.2(3600) = 1.25S [S=stephen] S = 1.2(3600)/1.25 = 1.2 x 3600 x 4/5 =48 x72 = 3456 (B)
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Re: After his death, a farmer left all of his land to his three children. [#permalink]
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05 Jul 2010, 10:26
Thanks Guys, I was exhausted while doing this question, Got it very easily after a quick nap
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Re: After his death, a farmer left all of his land to his three children. [#permalink]
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30 Jul 2010, 17:54
gmatbull wrote: Alfred= 1.2(3600) = 1.25S [S=stephen] S = 1.2(3600)/1.25 = 1.2 x 3600 x 4/5 =48 x72 = 3456 (B) I think the answer should not be B because Alfre got 25% more than steph ==> we should multilpy by 0.75 and not by 1.2



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Re: After his death, a farmer left all of his land to his three children. [#permalink]
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02 Mar 2017, 02:05
James = 3600 Acres. Since Alfred receives 20% more than James. So Alfred = 3600+3600*(20/100) or simply put 1.2*3600 (1) Now Alfred receives 25% more than Stephen. So stephen receives S acres then Alfred = S + (25/100)*S or Alfred = 1.25S or S= Alfred/1.25 Now Alfred got 1.2*3600 (from (1)) So, S = (1.2*3600)/1.25 S= 3456. Hope this clarifies your doubt mehdiov



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Re: After his death, a farmer left all of his land to his three children. [#permalink]
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02 Mar 2017, 05:15
onedayill wrote: After his death, a farmer left all of his land to his three children. Alfred received 20% more acres of land than James and 25% more than Stephen. If James received 3,600 acres, how many acres did Stephen get? A. 2400 B. 3456 C. 3600 D. 3750 E. 4320 M0717 Given that James received 3,600 acres and that Alfred received 20% more acres of land than James, so Alfred=3,600*1.2=4,320. Now, as Alfred also received 25% more than Stephen then Alfred=4,320=Stephen*1.25 > Stephen=4,320/1.25=3,456. Answer: B. Or you can see that Alfred received the largest share (20% more than James and 25% more than Stephen ) and Stephen received the least share, so Stephen received less than James=3,600. Answer choice A is too small (33% less than 3,600) so pick B. Hope it's clear.
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Re: After his death, a farmer left all of his land to his three children. [#permalink]
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06 Mar 2017, 18:09
onedayill wrote: After his death, a farmer left all of his land to his three children. Alfred received 20% more acres of land than James and 25% more than Stephen. If James received 3,600 acres, how many acres did Stephen get?
A. 2400 B. 3456 C. 3600 D. 3750 E. 4320 Since James received 3,600 acres of land and Alfred received 20% more than than James, Alfred received 1.2 x 3,600 = 4,320 acres of land. Since Alfred received 25% more land than Stephen, we can let the number of acres of land Stephen received be n and create the following equation: 1.25n = 4,320 n = 3,456 Answer: B
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