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# A number of marbles were divided between Amy and Betty such that the

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Math Expert
Joined: 02 Sep 2009
Posts: 58396
A number of marbles were divided between Amy and Betty such that the  [#permalink]

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25 Sep 2018, 05:13
00:00

Difficulty:

35% (medium)

Question Stats:

70% (02:06) correct 30% (02:45) wrong based on 37 sessions

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A number of marbles were divided between Amy and Betty such that the ratio of Amy’s marbles to Betty’s marbles was 5:3. If Amy’s marbles exceeded (5/9)th of the total marbles by \$100, how many marbles Betty has?

(A) 420
(B) 540
(C) 640
(D) 750
(E) 900

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Joined: 31 Oct 2013
Posts: 1467
Concentration: Accounting, Finance
GPA: 3.68
WE: Analyst (Accounting)
Re: A number of marbles were divided between Amy and Betty such that the  [#permalink]

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25 Sep 2018, 05:21
Bunuel wrote:
A number of marbles were divided between Amy and Betty such that the ratio of Amy’s marbles to Betty’s marbles was 5:3. If Amy’s marbles exceeded (5/9)th of the total marbles by \$100, how many marbles Betty has?

(A) \$420
(B) \$540
(C) \$640
(D) \$750
(E) \$900

Ratio of Marbles: 5 : 3

Let Amy has 5x marbles and betty has 3x marbles.

Total marbles = 8x.

Can form equation :

5x = 8x (5/9) +100

5x - 40x /9 = 100

5x = 900

x = 180.

Betty's Marbles = 180 * 3 = 540

Director
Joined: 27 May 2012
Posts: 903
Re: A number of marbles were divided between Amy and Betty such that the  [#permalink]

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28 Feb 2019, 02:02
Bunuel wrote:
A number of marbles were divided between Amy and Betty such that the ratio of Amy’s marbles to Betty’s marbles was 5:3. If Amy’s marbles exceeded (5/9)th of the total marbles by \$100, how many marbles Betty has?

(A) \$420
(B) \$540
(C) \$640
(D) \$750
(E) \$900

Dear Moderator,
How can number of marbles be equal to \$. It seems the \$ dollar symbol is an error.Hope you will kindly fix this. Thank you.
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- Stne
Re: A number of marbles were divided between Amy and Betty such that the   [#permalink] 28 Feb 2019, 02:02
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