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Bunuel
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

Answer: E
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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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Bunuel
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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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
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Roses : Tulips = 3 : 2 = 6 : 4

Tulips : Daisies = 4 : 5

Roses : Tulips : Daisies = 6 : 4 : 5

Roses : Daisies = 6 : 5

The correct answer is E
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Bunuel
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

We have the following ratios:

roses : tulips = 3 : 2

Multiplying by 2, we have:

roses : tulips = 6 : 4

tulips : daisies = 4 : 5

Thus, we have the 3-way ratio of roses to tulips to daisies = 6 : 4 : 5 and therefore, the ratio of roses to daisies is 6 : 5.

Answer: E
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Bunuel
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

Rose /Tulip = 3 : 2 andDaisies to Tulip : 5: 4

Equate the Ratios by Getting the ratio of Tulip the same in both ratios

Rose / Tulip can also be written as = 3*2 : 2* 2 or 6 : 4

Now notice we have equated Tulip

So the joint ratios : 6 : 4 : 5 for Rose : Tulip : Daisies

therfore the ratio between Roses to daisies = 6 :5 ans e
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