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In a certain flower shop, which stocks four types of flowers, there

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In a certain flower shop, which stocks four types of flowers, there  [#permalink]

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New post 03 Nov 2015, 13:39
5
00:00
A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

70% (02:14) correct 30% (02:54) wrong based on 75 sessions

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In a certain flower shop, which stocks four types of flowers, there are 1/3 as many violets as carnations, and 1/2 as many tulips as violets. If there are equal numbers of roses and tulips, what percent of the flowers in the shop are carnations?

A. 10%
B. 33%
C. 40%
D. 50%
E. 60%
Spoiler: OA

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Re: In a certain flower shop, which stocks four types of flowers, there  [#permalink]

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New post 03 Nov 2015, 17:02
V= 1/3 C -> C = 3V
T= 1/2 V
R= 1/2V

C + T + R + V = 1
3V + 1/2V + 1/2 V + V = 1
V = 1/5

C = 3V
C = 3.(1/5)
C = 3/5 = 60%
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Re: In a certain flower shop, which stocks four types of flowers, there  [#permalink]

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New post 03 Nov 2015, 17:52
Bunuel wrote:
In a certain flower shop, which stocks four types of flowers, there are 1/3 as many violets as carnations, and 1/2 as many tulips as violets. If there are equal numbers of roses and tulips, what percent of the flowers in the shop are carnations?

A. 10%
B. 33%
C. 40%
D. 50%
E. 60%


Given :-

Violets - C/3
Carnations - C
Tulip - C/6
Rose - C/6

Total flowers in terms of C = C/3+C+C/6+C/6 = 10C/6

Percentage of Carnations = C/10C/6 *100 =60%

Answer E
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Re: In a certain flower shop, which stocks four types of flowers, there  [#permalink]

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New post 03 Nov 2015, 20:09
Let the number of violets =V
Carnations=C
Tulips =T
Roses =R

V=C/3
T= V/2
R=T

V=2T
=>C/3=2T
=>C=6T
=>T=C/6

V+C+R+T
=C/3 + C + C/6 + C/6
=5/3 C

Percent of flowers in shop that are carnations = C/(5/3C)*100
= 60 percent

Answer E
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Re: In a certain flower shop, which stocks four types of flowers, there  [#permalink]

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New post 02 Jul 2017, 11:28
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Re: In a certain flower shop, which stocks four types of flowers, there   [#permalink] 02 Jul 2017, 11:28
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