New ratio of Jar A & B

Question

The ratio of the number of cookies in Jar A to the number of cookies in Jar B is 3:8. Half of the cookies in Jar A are transferred to Jar B. What is the new ratio of the number of cookies in Jar A to the number of cookies in Jar B in the end?

Answer 1

3:8 ratio means 3/11 of the cookies are in Jar A, 8/11 in Jar B

moving half of Jar A's cookies to Jar B moves (1/2) of 3/11 leaving 3/22 i Jar A, with 8/11+3/22 = 19/22 in Jar B

the new ratio is 3/22 to 19/22 or 3:19