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# There are 3 Box A, B, C with full of marbles contain White and Red

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Intern
Joined: 05 Dec 2017
Posts: 21
GPA: 3.35
There are 3 Box A, B, C with full of marbles contain White and Red  [#permalink]

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05 Apr 2018, 12:03
1
00:00

Difficulty:

65% (hard)

Question Stats:

53% (01:59) correct 47% (02:27) wrong based on 49 sessions

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There are 3 Box A, B, C with full of marbles contain White and Red marbles only. Box A, which has Red to White marbles in ratio of 1:2. Box B, with twice as much as capacity of A has Red to white marbles in 2:1 ratio. Box C, with thrice as much as capacity of box B has Red to white marbles in ratio of 1:2. If all the marbles from these 3 Box's are kept in another box D, What will be the ratio of White to Red marbles in box D?
A. $$\frac{3}{5}$$

B. $$\frac{2}{5}$$

C. $$\frac{5}{2}$$

D. $$\frac{11}{16}$$

E. $$\frac{16}{11}$$
Manager
Joined: 30 Mar 2017
Posts: 134
GMAT 1: 200 Q1 V1
Re: There are 3 Box A, B, C with full of marbles contain White and Red  [#permalink]

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05 Apr 2018, 15:40
Let capacity of A = A
so, capacity of B = 2A
capacity of C = 6A

# of red in A: $$\frac{1}{3}A$$, # of white in A: $$\frac{2}{3}A$$

# of red in B: $$\frac{2}{3}2A$$, # of white in B: $$\frac{1}{3}2A$$

# of red in C: $$\frac{1}{3}6A$$, # of white in C: $$\frac{2}{3}6A$$

# of red in D: $$\frac{1}{3}A + \frac{2}{3}2A+\frac{1}{3}6A=\frac{11}{3}A$$, # of white in D: $$\frac{2}{3}A+\frac{1}{3}2A+\frac{2}{3}6A=\frac{16}{3}A$$

$$\frac{white in D}{red in D} = \frac{16}{3}A/\frac{11}{3}A=\frac{16}{11}$$

Intern
Joined: 03 Nov 2018
Posts: 26
Re: There are 3 Box A, B, C with full of marbles contain White and Red  [#permalink]

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30 Dec 2018, 09:35
1
Box A 1R:2W total 3 marbles
Box B twice the capacity of A is 6 marbles with ratio 2R:1W is 4R:2W
Box C trice the capacity of B is 18 marbles with ratio 1R:2W is 6R:12W
Box D sum of all the marbles 11R:16W
Questions asks the ratio of white to red, so the answer is E 16/11
Re: There are 3 Box A, B, C with full of marbles contain White and Red &nbs [#permalink] 30 Dec 2018, 09:35
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