2/5 of Abel's books are equal to 4/7 of Bella's books. What is the ratio of Abel's books to Bella's books?

Question

2/5 of Abel's books are equal to 4/7 of Bella's books. What is the ratio of Abel's books to Bella's books?

Answer 1

Hi Fff,

A: Abel's books

B: Bella's Books

        (2/5)A = (4/7)B multiply both sides by 5/2

(5/2)(2/5)A = (5/2)(4/7)B

               A =(10/7)B

              A/B = 10/7

The ratio of Abel's books to Bella's Books is 10:7