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Each of the 256 solid-colored marbles in a box is either blue, green,

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Each of the 256 solid-colored marbles in a box is either blue, green,  [#permalink]

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New post 24 Jun 2018, 20:44
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Each of the 256 solid-colored marbles in a box is either blue, green, or purple. What is the ratio of the number of blue marbles to the number of purple marbles in the box?

(1) The number of green marbles in the box is 4 times the number of blue marbles in the box.
(2) There are 192 green marbles in the box.




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(DS07822)

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Re: Each of the 256 solid-colored marbles in a box is either blue, green,  [#permalink]

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New post 24 Jun 2018, 21:42
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Bunuel wrote:
Each of the 256 solid-colored marbles in a box is either blue, green, or purple. What is the ratio of the number of blue marbles to the number of purple marbles in the box?

(1) The number of green marbles in the box is 4 times the number of blue marbles in the box.
(2) There are 192 green marbles in the box.




NEW question from GMAT® Official Guide 2019


(DS07822)


B+G+P = 256
to find B/P = ??

Stat 1 : G/B=4/1
Insufficient

Stat 2: G=192 ,
therefore B+P = 256-192 = 64,

Combining Stat 1 & 2 ,

we get b= 192/4 = 48 ,
and therefore P = 64-48 = 16

B/P = 48/16 = 3:1

Answer Choice C .
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Re: Each of the 256 solid-colored marbles in a box is either blue, green,  [#permalink]

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New post 25 Jun 2018, 03:22

Solution



Given:
    • Each of the 256 solid-colored marbles in a box is either blue, green, or purple

To find:
    • The ratio of the number of blue marbles to the number of purple marbles in the box

Analysing Statement 1
    • As per the information given in statement 1, the number of green marbles in the box is 4 time the number of blue marbles in the box
      o Hence, if blue marbles are x, then green marbles will be 4x
      o We do not have any information about the number of marbles of any color

Hence, statement 1 is not sufficient to answer

Analysing Statement 2
    • As per the information given in statement 2, there are 192 green marbles in the box
      o From this statement, we can say the total number of purple and blue marbles is \((256 – 192) = 64\)
      o But we can’t find out the individual number of purple and blue marbles

Hence, statement 2 is not sufficient to answer

Combining Both Statements
If we combine both the statements, we can say:
    • Number of green marbles is 192
    • Green marbles are 4 times the number of blue marbles
      o Hence, number of blue marbles = \(\frac{192}{4} = 48\)
      o Therefore, number of purple marbles = \(64 – 48 = 16\)
    • As we know the number of marbles of each color, we can find out the required ratio

Hence, the correct answer is option C.

Answer: C
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Re: Each of the 256 solid-colored marbles in a box is either blue, green,   [#permalink] 25 Jun 2018, 03:22
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