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If any amount is distributed among A ,B and C so that the part of A

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If any amount is distributed among A ,B and C so that the part of A [#permalink]

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New post 07 Oct 2015, 11:02
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If any amount is distributed among A ,B and C so that the part of A is doubled that of the part of B and part of b is 4 time the part of C .Find the ratio among their parts.

A. 1:2:4

B. 1:4:1

C. 8:4:1

D. 2:4:1

E. 4:3:2
[Reveal] Spoiler: OA

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Re: If any amount is distributed among A ,B and C so that the part of A [#permalink]

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ske wrote:
if any amount is distributed among A ,B and C so that the part of A is doubled that of the part of B and part of b is 4 time the part of C .Find the ratio among their parts.

A. 1:2:4

B. 1:4:1

C. 8:4:1

D. 2:4:1

E. 4:3:2


A=2B, B=4C
A:B:C = 2B:B:B/4=8:4:1

=> Ans: C

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Re: If any amount is distributed among A ,B and C so that the part of A [#permalink]

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New post 07 Oct 2015, 21:27
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Hi ske,

This question can be solved by TESTing VALUES. Here's how:

We're told that A is TWICE B and B is FOUR TIMES C....

IF...
C = 2
B = 8
A = 16

We're asked for the ratio of A:B:C....The ratio of these 3 values is...
16:8:2

This reduces to....
8:4:1

Final Answer:
[Reveal] Spoiler:
C


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Re: If any amount is distributed among A ,B and C so that the part of A [#permalink]

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New post 08 Oct 2015, 01:10
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Forget conventional ways of solving math questions. In PS, IVY approach is the easiest and quickest way to find the answer.


if any amount is distributed among A ,B and C so that the part of A is doubled that of the part of B and part of b is 4 time the part of C .Find the ratio among their parts.

A. 1:2:4

B. 1:4:1

C. 8:4:1

D. 2:4:1

E. 4:3:2




By the assumptions as mentioned we have A=2B and B=4C. So A=2(4C) and we get A=8C. We have, therefore, A:B:C = 8C:4C:C. By cancelling the ratio with C we have 8:4:1. The answer is, therefore, C.
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Re: If any amount is distributed among A ,B and C so that the part of A [#permalink]

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A=2B, B=4C A:B:C = 2B:B:B/4=8:4:1

=> Ans: C
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Re: If any amount is distributed among A ,B and C so that the part of A [#permalink]

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Re: If any amount is distributed among A ,B and C so that the part of A [#permalink]

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A=2B,

B=4C

A:B:C = 2B:B:B/4=8:4:1

=> Ans: C
i will go for c.

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Re: If any amount is distributed among A ,B and C so that the part of A [#permalink]

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New post 20 Mar 2017, 03:32
ske wrote:
If any amount is distributed among A ,B and C so that the part of A is doubled that of the part of B and part of b is 4 time the part of C .Find the ratio among their parts.

A. 1:2:4

B. 1:4:1

C. 8:4:1

D. 2:4:1

E. 4:3:2



let the part for A,B,C be a,b,c respectively
a = 2b or a : b = 2:1 = 8:4
b = 4c or b:c = 4:1

therefore a:b:c = 8:4:1

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Re: If any amount is distributed among A ,B and C so that the part of A [#permalink]

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New post 12 Jul 2017, 10:39
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ske wrote:
If any amount is distributed among A ,B and C so that the part of A is doubled that of the part of B and part of b is 4 time the part of C .Find the ratio among their parts.

A. 1:2:4

B. 1:4:1

C. 8:4:1

D. 2:4:1

E. 4:3:2



hi ske, it can be lik this

A=2B, B=4C A:B:C = 2B:B:B/4=8:4:1

=> Ans: C

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Re: If any amount is distributed among A ,B and C so that the part of A [#permalink]

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New post 13 Jul 2017, 20:04
Confused. Help!

Given:
A = 2B
B = 4C

In order to make 'B' equal in both the ratios, we need to multiple the second ration by 2. Therefore,
B=4C becomes, 2B = 8C.

(1) ----- A = 2B
(2) -----2B = 8C

Combining (1) and (2), we get A:2B:8C.

Evidently, there is no such answer. What am I missing?

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Re: If any amount is distributed among A ,B and C so that the part of A [#permalink]

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Hi Blackbox,

While you've done the proper algebra, you have not properly translated the given equations into the end ratio.

Here's a simple example of how the math actually "works":

A = 2B

This means that A is equal to TWICE B.

For example....
IF... B=1, then A=2
IF... B=2, then A=4
IF... B=3, then A=6
Etc.

This means that whatever B is, A is DOUBLE that value. Thus, the ratio of A to B is...
A:B
2:1

Using that example, and the equations that you've created, what would the ratio of A:B:C equal?

GMAT assassins aren't born, they're made,
Rich
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Re: If any amount is distributed among A ,B and C so that the part of A [#permalink]

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New post 14 Jul 2017, 09:20
Let \(B = x\).

\(A = 2x, C = 0.25x\)

Ratio of \(A:B:C = 2:1:0.25 = 8:4:1.\) Ans - C.
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Re: If any amount is distributed among A ,B and C so that the part of A [#permalink]

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New post 14 Jul 2017, 10:11
EMPOWERgmatRichC wrote:
Hi Blackbox,

While you've done the proper algebra, you have not properly translated the given equations into the end ratio.

Here's a simple example of how the math actually "works":

A = 2B

This means that A is equal to TWICE B.

For example....
IF... B=1, then A=2
IF... B=2, then A=4
IF... B=3, then A=6
Etc.

This means that whatever B is, A is DOUBLE that value. Thus, the ratio of A to B is...
A:B
2:1

Using that example, and the equations that you've created, what would the ratio of A:B:C equal?

GMAT assassins aren't born, they're made,
Rich


I see what are you're trying to convey. So, A:B = 2:1, B:C = 4:1. In order to make an equal proportion of the items, I need to make B = 4 in the first ratio. Therefore, I'd have to multiply the first ratio by 4. Which makes the combined ratio 8:4:1.

Thanks mate.

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Re: If any amount is distributed among A ,B and C so that the part of A [#permalink]

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New post 14 Jul 2017, 10:12
TimeTraveller wrote:
Let \(B = x\).

\(A = 2x, C = 0.25x\)

Ratio of \(A:B:C = 2:1:0.25 = 8:4:1.\) Ans - C.


Thanks TT. Yours was a cool explanation as well.

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If any amount is distributed among A ,B and C so that the part of A [#permalink]

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New post 18 Dec 2017, 03:26
ske wrote:
If any amount is distributed among A ,B and C so that the part of A is doubled that of the part of B and part of b is 4 time the part of C .Find the ratio among their parts.

A. 1:2:4

B. 1:4:1

C. 8:4:1

D. 2:4:1

E. 4:3:2


A=2B or [ A/B ]= [2/1] Eq 1
B=4C or [ B/C ]= [ 4/1 ] Eq 2

Equate the B's or Multiply Eq 1 by 4 & Multiply Eq 2 by 1

A:B:C [ 8:4:1]

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If any amount is distributed among A ,B and C so that the part of A   [#permalink] 18 Dec 2017, 03:26
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