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# In a garden, the ratio of roses to tulips is 3:2, and the ratio of

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Joined: 02 Sep 2009
Posts: 54696
In a garden, the ratio of roses to tulips is 3:2, and the ratio of  [#permalink]

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08 Jul 2017, 05:22
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In a garden, the ratio of roses to tulips is 3:2, and the ratio of tulips to daisies is 4:5. What is the ratio of roses to daisies?

A. 3:5
B. 1:2
C. 2:3
D. 4:5
E. 6:5

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In a garden, the ratio of roses to tulips is 3:2, and the ratio of  [#permalink]

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08 Jul 2017, 06:32
Bunuel wrote:
In a garden, the ratio of roses to tulips is 3:2, and the ratio of tulips to daisies is 4:5. What is the ratio of roses to daisies?

A. 3:5
B. 1:2
C. 2:3
D. 4:5
E. 6:5

Lets Roses be $$R$$, Tulips be $$T$$, and Daisies be $$D$$.

We need to find $$\frac{R}{D}$$ Or $$R:D$$

$$\frac{R}{T} = \frac{3}{2}$$

$$2R = 3T$$ ------------ (i)

$$\frac{T}{D} = \frac{4}{5}$$

$$T = \frac{4}{5}D$$ --------- (ii)

Substituting value of $$T$$ from (ii) to (i), we get;

$$2R = 3*\frac{4}{5}D$$

$$\frac{R}{D} = \frac{6}{5}$$

$$R:D = 6:5$$

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Joined: 26 Mar 2013
Posts: 2139
Re: In a garden, the ratio of roses to tulips is 3:2, and the ratio of  [#permalink]

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09 Jul 2017, 01:29
Bunuel wrote:
In a garden, the ratio of roses to tulips is 3:2, and the ratio of tulips to daisies is 4:5. What is the ratio of roses to daisies?

A. 3:5
B. 1:2
C. 2:3
D. 4:5
E. 6:5

R : T : D

3 : 2

4: 5

To make the ratios comparable, multiply first ratio in 2

R : T : D

6 : 4

4: 5

R : D

6 : 5

CEO
Joined: 12 Sep 2015
Posts: 3603
Re: In a garden, the ratio of roses to tulips is 3:2, and the ratio of  [#permalink]

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09 Jul 2017, 05:05
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Top Contributor
Bunuel wrote:
In a garden, the ratio of roses to tulips is 3:2, and the ratio of tulips to daisies is 4:5. What is the ratio of roses to daisies?

A. 3:5
B. 1:2
C. 2:3
D. 4:5
E. 6:5

Let R = # of roses in garden
Let T = # of tulips in garden
Let D = # of daisies in garden

Given: R/T = 3/2 and T/D = 4/5
Notice that (R/T)(T/D) = R/D, which is our desired ratio.
So, R/D = (3/2)(4/5) = 12/10 = 6/5 = 6:5

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Posts: 519
Re: In a garden, the ratio of roses to tulips is 3:2, and the ratio of  [#permalink]

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09 Jul 2017, 08:09
we must make the number of tulips same..
ratio1 ... 6:4
ration 2 ... 4:5

required ratio is 6:5

ans E
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Re: In a garden, the ratio of roses to tulips is 3:2, and the ratio of  [#permalink]

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10 Jul 2017, 11:00
Bunuel wrote:
In a garden, the ratio of roses to tulips is 3:2, and the ratio of tulips to daisies is 4:5. What is the ratio of roses to daisies?

A. 3:5
B. 1:2
C. 2:3
D. 4:5
E. 6:5

R:T:D
3:2
4:5
On multiplication
12:8:10
6:4:5

SO, R:D = 6:5
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Location: United States (TX)
Concentration: Finance, Marketing
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Re: In a garden, the ratio of roses to tulips is 3:2, and the ratio of  [#permalink]

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10 Jul 2017, 19:14
Answer is E. This is how I solved:

Given:

R(Roses): T(Tulips) = 3:2
T(Tulips):D(Daisies) = 4:5

Calculate: R(Rose): D(Daisies)

Since, Tulips is "common" between the ratios, but is in a different proportion, one needs to make it common in proportion as well. If we could multiply the ratio of R and T by 2 (that way the proportion of Tulips will be common in both the ratios), that would bring the commonality.

=> Multiplying R:T by 2 = 6:4

Now, Tulips are in the same proportion. Combining both the ratios, we get

R:T:D = 6:4:5
Now, They asked R:D => 6:5
Re: In a garden, the ratio of roses to tulips is 3:2, and the ratio of   [#permalink] 10 Jul 2017, 19:14
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