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The Bryant's flower shop situated at the New Plaza complex stocks four

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The Bryant's flower shop situated at the New Plaza complex stocks four  [#permalink]

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New post 01 Dec 2015, 04:41
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The Bryant's flower shop situated at the New Plaza complex 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 no. of roses and tulips, what percent of the flowers in the shop are carnations?

(A) 6.25

(B) 20

(C) 33

(D) 50

(E) 60

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Re: The Bryant's flower shop situated at the New Plaza complex stocks four  [#permalink]

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New post 01 Dec 2015, 05:40
1
Let number of violets = v
number of carnations = c
number of tulips = t
number of roses = r

v= c/3 -- 1
t = v/2
=>2t = v -- 2
From equation 1 and 2,
2t = c/3
=> t = c/6
r= t

v+c+t+r
=c/3 + c + c/6 + c/6 = (5/3)c

percent of the flowers in the shop are carnations = c/((5/3)c) * 100 % = 60 %

Answer E
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Re: The Bryant's flower shop situated at the New Plaza complex stocks four  [#permalink]

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New post 01 Dec 2015, 12:32
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Bunuel wrote:
There are.... 1/2 as many tulips as violets.


Let the number of flowers be

Violets be 6
Tulips is 3

Bunuel wrote:
If there are equal no. of roses and tulips,


Roses is 3

Bunuel wrote:
There are 1/3 as many violets as carnations,


Carnations is 18

Bunuel wrote:
what percent of the flowers in the shop are carnations?


Total number of flowers is 30 ( 6+3+3+18)

Percentage of carnations is \(\frac{18}{30}*100\)% = 60%
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The Bryant's flower shop situated at the New Plaza complex stocks four  [#permalink]

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New post 14 Jun 2017, 12:24
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Bunuel wrote:
The Bryant's flower shop situated at the New Plaza complex 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 no. of roses and tulips, what percent of the flowers in the shop are carnations?

(A) 6.25

(B) 20

(C) 33

(D) 50

(E) 60



Proportional approach : same thing but in a different way , helps in tracking and getting the proportion faster 8-) 8-)
Write first letter of every item in ratio like the below format .
Then check if the values of the letters side by side are equal , if not , multiply by some integer to make them equal.
Following same way , make a complete proportion .

C : V V : T
3 1 2 1
6 2 2 1

Now
C : V : T : R = 6 : 2 : 1 : 1

Fraction = ( 6 ) / 10 * 100 = 60%
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Re: The Bryant's flower shop situated at the New Plaza complex stocks four  [#permalink]

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New post 22 Jun 2017, 07:34
yoysufpolash wrote:
Bunuel wrote:
The Bryant's flower shop situated at the New Plaza complex 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 no. of roses and tulips, what percent of the flowers in the shop are carnations?

(A) 6.25

(B) 20

(C) 33

(D) 50

(E) 60



Proportional approach : same thing but in a different way , helps in tracking and getting the proportion faster 8-) 8-)
Write first letter of every item in ratio like the below format .
Then check if the values of the letters side by side are equal , if not , multiply by some integer to make them equal.
Following same way , make a complete proportion .

C : V V : T
3 1 2 1
6 2 2 1

Now
C : V : T : R = 6 : 2 : 1 : 1

Fraction = ( 6 ) / 10 * 100 = 60%


Can you please explain me this method in detail?
It would be very useful!
Many thanks :)
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Re: The Bryant's flower shop situated at the New Plaza complex stocks four  [#permalink]

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New post 22 Jun 2017, 07:34
Abhishek009 wrote:
Bunuel wrote:
There are.... 1/2 as many tulips as violets.


Let the number of flowers be

Violets be 6
Tulips is 3

Bunuel wrote:
If there are equal no. of roses and tulips,


Roses is 3

Bunuel wrote:
There are 1/3 as many violets as carnations,


Carnations is 18

Bunuel wrote:
what percent of the flowers in the shop are carnations?


Total number of flowers is 30 ( 6+3+3+18)

Percentage of carnations is \(\frac{18}{30}*100\)% = 60%


How did you choose theese numbers?
Many thanks
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Re: The Bryant's flower shop situated at the New Plaza complex stocks four  [#permalink]

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New post 22 Jun 2017, 07:40
MvArrow wrote:
How did you choose theese numbers?Many thanks


Here is how I assumed 6 ...

Bunuel wrote:
The Bryant's flower shop situated at the New Plaza complex 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 no. of roses and tulips, what percent of the flowers in the shop are carnations?


I am going to consider whole number divisible by both 2 & 3 ...

LCM ( 2 & 3 ) = 6

Hope this helps...

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Re: The Bryant's flower shop situated at the New Plaza complex stocks four  [#permalink]

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Re: The Bryant's flower shop situated at the New Plaza complex stocks four &nbs [#permalink] 28 Jun 2018, 00:00
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