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# A flower arrangement consists of 30 roses, each of which is

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Manager
Joined: 30 Mar 2007
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A flower arrangement consists of 30 roses, each of which is  [#permalink]

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13 May 2007, 03:18
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A flower arrangement consists of 30 roses, each of which is either white or red. If a rose is to be selected at random from the flower arrangement, the probability that the rose selected will be white is twice the probability that it will be red. How many white roses are in the flower arrangement?
A. 5
B. 10
C. 15
D. 20
E. 25

If the product of the 3 digits of the positive integer k is 14, what is the value of k?
(1) k is an odd integer
(2) k i know its a pretty easy answer but just want to make sure how you solve for each condition

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Joined: 01 May 2007
Posts: 18

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13 May 2007, 04:55
Q1. 20/30 is 2 times more than 10/30. Hence, 20 white roses are in the flower arrangement. Answer is D.

Q2. Didn't get the second statement. Elaborate pls.
Manager
Joined: 15 Mar 2012
Posts: 53
Location: United States
Concentration: Marketing, Strategy
Re: A flower arrangement consists of 30 roses, each of which is  [#permalink]

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26 Mar 2013, 07:45
Probability of red: Pr = X
Probability of white: Pw = 2X
Total Roses: 30

1/x + 1/2x = 1/30, x=1/20

Hence, 20 roses are white, 10 are red.

Hope its clear.
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Re: A flower arrangement consists of 30 roses, each of which is  [#permalink]

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26 Mar 2013, 09:17
1
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Jamesk486 wrote:
A flower arrangement consists of 30 roses, each of which is either white or red. If a rose is to be selected at random from the flower arrangement, the probability that the rose selected will be white is twice the probability that it will be red. How many white roses are in the flower arrangement?
A. 5
B. 10
C. 15
D. 20
E. 25

If the product of the 3 digits of the positive integer k is 14, what is the value of k?
(1) k is an odd integer
(2) k i know its a pretty easy answer but just want to make sure how you solve for each condition

Hi James486,

The roses is rather straight forward in that there must be twice as many white roses as red roses. This is a simple probability without any outside factors. There must be 10 red and 20 white roses as elaborated upon above. You can also set it up as two algebraic formulas:

W+R = 30
W = 2R.
Substituting we find 3R = 30, R=10, W=20. Answer choice D.

The second question is interesting as well. I read statement 2 as K 700) but leaves 127, 172, 217 and 271.
Combining them we can eliminate 3 answer choices (evens or >700) but still have 127, 217 and 271 that satisfy these conditions.

Answer is therefore E in this data sufficiency question. It could have been C had statement 2 been k>700 instead of <... but as written we cannot differentiate between 3 valid options.

Hope this helps!
-Ron

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Re: A flower arrangement consists of 30 roses, each of which is  [#permalink]

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28 Jun 2018, 02:00
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Re: A flower arrangement consists of 30 roses, each of which is &nbs [#permalink] 28 Jun 2018, 02:00
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