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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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07 Oct 2015, 11:02
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Difficulty:

5% (low)

Question Stats:

86% (01:01) correct 14% (01:16) wrong based on 133 sessions

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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

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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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07 Oct 2015, 21:27
5
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

GMAT assassins aren't born, they're made,
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Special Offer: Save $75 + GMAT Club Tests Free Official GMAT Exam Packs + 70 Pt. Improvement Guarantee www.empowergmat.com/ *****Select EMPOWERgmat Courses now include ALL 6 Official GMAC CATs!***** ##### General Discussion Manager Joined: 11 Sep 2013 Posts: 108 Re: If any amount is distributed among A ,B and C so that the part of A [#permalink] ### Show Tags 07 Oct 2015, 11:05 2 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 Math Revolution GMAT Instructor Joined: 16 Aug 2015 Posts: 6966 GMAT 1: 760 Q51 V42 GPA: 3.82 Re: If any amount is distributed among A ,B and C so that the part of A [#permalink] ### Show Tags 08 Oct 2015, 01:10 3 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. _________________ MathRevolution: Finish GMAT Quant Section with 10 minutes to spare The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy. "Only$149 for 3 month Online Course"
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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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10 Feb 2016, 21:26
6
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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20 Mar 2017, 01:17
2
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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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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12 Jul 2017, 10:39
1
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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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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14 Jul 2017, 06:25
1
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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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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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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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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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]
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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