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# A jar is filled with 60 marbles. All the marbles in the jar are either

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Math Expert
Joined: 02 Sep 2009
Posts: 55271
A jar is filled with 60 marbles. All the marbles in the jar are either  [#permalink]

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05 Nov 2017, 02:11
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Difficulty:

15% (low)

Question Stats:

97% (00:47) correct 3% (01:00) wrong based on 44 sessions

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A jar is filled with 60 marbles. All the marbles in the jar are either red or green. What is the smallest number of marbles that must be drawn from the jar in order to be certain that a red marble is drawn?

(1) The ratio of red marbles to green marbles is 2 : 1.
(2) There are 20 green marbles in the jar.

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Re: A jar is filled with 60 marbles. All the marbles in the jar are either  [#permalink]

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07 Jan 2018, 10:34
A jar is filled with 60 marbles. All the marbles in the jar are either red or green. What is the smallest number of marbles that must be drawn from the jar in order to be certain that a red marble is drawn?

Red(x) + Green(y) = 60

we need to draw all the available green marble first to be 100% sure that next drawn marble is a red one : so the answer will be y + 1

(1) The ratio of red marbles to green marbles is 2 : 1.

x/y = 2/1 or x = 2y ; 3y = 60 ; y = 20 so answer = 21

(2) There are 20 green marbles in the jar ; y = 20 so y + 1 = 21 is the answer

Hence both the options are sufficient : D
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Re: A jar is filled with 60 marbles. All the marbles in the jar are either   [#permalink] 07 Jan 2018, 10:34
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