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)
36 weeks
To find the number of weeks it will take for Jiani and Rosa to get paid at the same time, we need to find the least common multiple (LCM) of 9 and 12.
First, let's list the multiples of 9: 9, 18, 27, 36, 45, 54, 63, ...
Next, let's list the multiples of 12: 12, 24, 36, 48, 60, 72, ...
We can see that the first common multiple of 9 and 12 is 36.
Therefore, it will take 36 weeks for Jiani and Rosa to get paid at the same time.
To find out how many weeks it will take for Jiani and Rosa to get paid at the same time, we need to find the least common multiple (LCM) of 9 and 12. The LCM represents the smallest number that is divisible by both 9 and 12.
One way to find the LCM is by listing the multiples of both numbers and finding the smallest common multiple. Let's start by listing the multiples of 9: 9, 18, 27, 36, 45, 54, 63, 72, and so on. Now let's list the multiples of 12: 12, 24, 36, 48, 60, 72, 84, and so on.
From this list, we can see that the smallest common multiple of 9 and 12 is 36. Therefore, it will take 36 weeks for Jiani and Rosa to get paid at the same time.