Bunuel wrote:

The price ratio of oranges to lemons is 2:3. The price ratio of grapefruits to lemons is 3:5. What is the ratio, by price, of grapefruit to oranges?

A. 18:20

B. 10:9

C. 2:5

D. 5:2

E. 3:2

Hi

Bunuel.

I have solved, and usually solve the ratio problems, in the following manner. Could you please comment on this approach in terms of (a) whether it takes more time or not (b) possibility of making mistakes and (c) any other input. Would highly appreciate your view.

First, I make the ratio as a fraction

(1) O / L = 2 / 3

(2) G / L = 3 / 5

Second, make the denominators equal (or numerators equal by multiplying a common factor). Here I made the denominators equal.

(1) O / L = 10 / 15

(2) G / L = 9 / 15

Therefore, G : L = 9 : 10.

Though 9:10 is not among the answer choices, but its multiple is there. (18:20); and I did pick the right choice. It took me a little more than 1 minutes to finish the entire process.

Please advise me

Bunuel.