Answer: The 36th caller will be the first one to win both
Step-by-step 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
[tex]LCM(12,9)=3\times2\times2\times3=36[/tex] [Where LCM=Least common multiple]
Therefore, the 36th caller will be the first one to win both.
