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

Answer:

Option D is correct (25:6)

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

Explanation:

Option D is correct (25:6)

First Ratio:

roses to carnations of 5: 2

$\frac{Roses }{Carnations }=\frac{5}{2}$

2nd Ratio:

ratio of carnations to tulips is 5: 3

$\frac{Carnations}{ Tulips } =\frac{5}{3}$

Finding the the ratio of roses to tulips:

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

$\frac{Roses}{Tulips}=\frac{Roses}{Carnations}*\frac{Carnations}{Tulips}\\ \frac{Roses}{Tulips}=\frac{5}{2}*\frac{5}{3}\\\frac{Roses}{Tulips}=\frac{25}{6}$

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