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Four friends win $120,000 in the lottery, and they divide

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Bunuel
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Four friends win $120,000 in the lottery, and they divide [#permalink] New post   20 Nov 2017, 10:41
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Four friends win $120,000 in the lottery, and they divide the winnings in a 1:2:4:5 ratio.

Quantity A
Quantity B
Te diference between the greatest share and the least share
$40,000


A. The quantity in Column A is greater
B. The quantity in Column B is greater
C. The two quantities are equal
D. The relationship cannot be determined from the information given

Kudos for correct solution.
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C
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IshanGre
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Re: Four friends win $120,000 in the lottery, and they divide [#permalink] New post   20 May 2018, 02:23
can anyone pls explain.
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adeel
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Re: Four friends win $120,000 in the lottery, and they divide [#permalink] New post   22 May 2018, 05:16
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Bunuel wrote:
Four friends win $120,000 in the lottery, and they divide the winnings in a 1:2:4:5 ratio.

Quantity A
Quantity B
Te diference between the greatest share and the least share
$40,000


A. The quantity in Column A is greater
B. The quantity in Column B is greater
C. The two quantities are equal
D. The relationship cannot be determined from the information given

Kudos for correct solution.


Answer is C:
1x+2x+4x+5x=120000
x=10000
5x-x=5*10000-10000=40000
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IshanGre
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Re: Four friends win $120,000 in the lottery, and they divide [#permalink] New post   22 May 2018, 06:08
adeel wrote:
Bunuel wrote:
Four friends win $120,000 in the lottery, and they divide the winnings in a 1:2:4:5 ratio.

Quantity A
Quantity B
Te diference between the greatest share and the least share
$40,000


A. The quantity in Column A is greater
B. The quantity in Column B is greater
C. The two quantities are equal
D. The relationship cannot be determined from the information given

Kudos for correct solution.


Answer is C:
1x+2x+4x+5x=120000
x=10000
5x-x=5*10000-10000=40000




Thanks
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IshanGre
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Re: Four friends win $120,000 in the lottery, and they divide [#permalink] New post   23 May 2018, 19:11
I have problem understanding when to ADD rations and when to multiply or use division to solve the ratio problem. how to know when to use what.
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Re: Four friends win $120,000 in the lottery, and they divide [#permalink] New post   24 May 2018, 00:59
2
When divided on above ratio, the amount is broken into 12 equal parts, 1st person get 1/12th, 2nd get 2/12th, 3rd get 4/12th and 4th person get 5/12th.

So 1st person get 1/12th of 120000 which is 10000
5th erson gets highest share as he takes 5 out of 12 parts = 5/12*120000 = 50000

Difference between highest and lowest = 50K-10K =40000

Hence both are equal.
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Four friends win $120,000 in the lottery, and they divided t [#permalink] New post   30 Jun 2018, 09:37
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Four friends win $120,000 in the lottery, and they divided the winnings in a 1:2:4:5 ratio

Quantity A
Quantity B
The difference between the greatest and least share
$40,000


A The quantity in Column A is greater
B The quantity in Column B is greater
C The two quantities are equal
D The relationship cannot be determined from the information given
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Re: Four friends win $120,000 in the lottery, and they divided t [#permalink] New post   01 Jul 2018, 21:40
amorphous wrote:
Four friends win $120,000 in the lottery, and they divided the winnings in a 1:2:4:5 ratio

Quantity A
Quantity B
The difference between the greatest and least share
$40,000


A The quantity in Column A is greater
B The quantity in Column B is greater
C The two quantities are equal
D The relationship cannot be determined from the information given


We can write as,

x + 2x +3x + 4x +5x =120,000

or x = 10,000

SO the price money is divided as : 10,000 : 20,000 : 40,000 : 50,000

Quantity A:- difference between the greatest and least share = 50,000 -10,000 =40,000

Hence option C
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Re: Four friends win $120,000 in the lottery, and they divide [#permalink] New post   09 Jul 2018, 18:37
Bunuel wrote:
Four friends win $120,000 in the lottery, and they divide the winnings in a 1:2:4:5 ratio.

Quantity A
Quantity B
Te diference between the greatest share and the least share
$40,000


A. The quantity in Column A is greater
B. The quantity in Column B is greater
C. The two quantities are equal
D. The relationship cannot be determined from the information given

Kudos for correct solution.

My Answer is C
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Four friends win $ 120,000 in the lottery, and they divide [#permalink] New post   27 Oct 2018, 13:04
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Four friends win $ 120,000 in the lottery, and they divide the winnings in a 1: 2: 4: 5 ratio.

Quantity A
Quantity B
The difference between the greatest share and the least share
$ 40,000


A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
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Re: Four friends win $ 120,000 in the lottery, and they divide [#permalink] New post   31 Oct 2018, 22:17
2
when the ratios are added they become 12 i.e 5+4+2+1

lowest share is 1/12 * 120000 = 10000
highest share is 5/12 * 120000 = 50000

there difference is 50000-10000 = 40000
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Re: Four friends win $ 120,000 in the lottery, and they divide [#permalink] New post   26 Nov 2018, 22:00
can i get the explanaton
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Re: Four friends win $120,000 in the lottery, and they divide [#permalink] New post   07 Aug 2022, 06:42
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Re: Four friends win $ 120,000 in the lottery, and they divide [#permalink] New post   07 Oct 2022, 09:12
Hello from the GRE Prep Club BumpBot!

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Four friends win $120,000 in the lottery, and they divided the winning [#permalink] New post   12 Oct 2022, 01:11
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Four friends win $120,000 in the lottery, and they divided the winning in a ratio 1:2:4:5 .

Quantity A
Quantity B
The difference between the greatest and the least share
$40,000



A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.


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Four friends win $120,000 in the lottery, and they divided the winning [#permalink] New post   12 Oct 2022, 22:43
2
x : 2x :4x : 5x = (1+2+4+5)x = 12x
12x = 120,000
x = 10,000. .: Least share (x)= 10,000
Greatest share(5x)=50,000
(50,000-10,000)= 40,000
Hence quantity A = Quantity B

Answer C

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