Question
Jiani gets paid for a job every 9 weeks and Rosa gets paid for a job every 12 weeks. How many weeks will it take for them to get paid at the same time?(1 point)
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To find out when Jiani and Rosa will get paid at the same time, we need to find the least common multiple (LCM) of 9 and 12.
The prime factorization of 9 is 3 x 3.
The prime factorization of 12 is 2 x 2 x 3.
To find the LCM, we take the highest power of each prime factor that appears in the factorizations. In this case, that is 2^2 x 3^2 = 36.
Therefore, it will take 36 weeks for Jiani and Rosa to get paid at the same time.