Question
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? Type your response into the box below.(1 point)
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? Type your response into the box below.(1 point)
Answers
GPT 3.5
The number of weeks it will take for them to get paid at the same time is the least common multiple (LCM) of 9 and 12.
The prime factors of 9 are 3 and 3.
The prime factors of 12 are 2, 2, and 3.
The LCM is the product of the highest powers of all prime factors, which gives us LCM = 2 × 2 × 3 × 3 = 36.
Therefore, it will take 36 weeks for Jiani and Rosa to get paid at the same time.
The prime factors of 9 are 3 and 3.
The prime factors of 12 are 2, 2, and 3.
The LCM is the product of the highest powers of all prime factors, which gives us LCM = 2 × 2 × 3 × 3 = 36.
Therefore, it will take 36 weeks for Jiani and Rosa to get paid at the same time.