Question

A radio station is having a promotion in which every 12th caller receives a free concert ticket and every 9th caller receives a limo ride. Which caller will be the first one to win both?

Answer 1

Answer: The 36th caller will be the first one to win both

Explanation:

Given: A radio station is having a promotion in which every 12th caller receives a free concert ticket and every 9th caller receives a limo ride.

To find which caller would be the first one to win both, we will find the LCM.

Prime factorization of 9 and 12:

12 = 3x 2x 2

9 = 3x 3

`LCM(12,9)=3*2*2*3=36` [Where LCM=Least common multiple]

Therefore, the 36th caller will be the first one to win both.