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

[BTGmoderatorDC]

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


OA E

Source: Veritas Prep

[swerve]

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


OA E

Source: Veritas Prep

Roses \(:\) Tulips \(= 3 : 2 = 6 : 4\)

Tulips \(:\) Daisies \(= 4 : 5\)

Roses \(:\) Tulips \(:\) Daisies \(= 6 : 4 : 5\)

Roses \(:\) Daisies \(= 6 : 5\)

Therefore, E

[Scott@TargetTestPrep]

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


OA E

Solution:

We see that if there are 4 tulips, then there are 6 roses (notice that 6:4 = 3:2) and 5 daisies. Therefore, the ratio of roses to daisies is 6:5.

Answer: E