Question

A flower shop sells flowers in a ratio of roses to carnations of 5: 2. The ratio of carnations to tulips sold is 5: 3. What is the ratio of roses to tulips?

A. 2: 3

B. 3: 2

C. 5: 3

D. 25: 6

E. 25: 9

Answer 1

Option D is correct (25:6)

The ratio of roses to tulips is 25/6 or (25:6)

Step-by-step explanation:

Option D is correct (25:6)

First Ratio:

roses to carnations of 5: 2

`(Roses )/(Carnations )=(5)/(2)`

2nd Ratio:

ratio of carnations to tulips is 5: 3

`(Carnations)/( Tulips ) =(5)/(3)`

Finding the the ratio of roses to tulips:

If we multiply above two ratios together ,we can find the ratio of roses to tulips.

`(Roses)/(Tulips)=(Roses)/(Carnations)*(Carnations)/(Tulips)\\ (Roses)/(Tulips)=(5)/(2)*(5)/(3)\\(Roses)/(Tulips)=(25)/(6)`

The ratio of roses to tulips is 25/6 or (25:6)