Zai takes private lacrosse lessons every 6 days and piano lessons every 4 days. In 60 days, how many days will he have lacrosse lessons and piano lessons on the same day?
Ah, Zai is quite the multitasker, isn't he? Let me put on my clownishly analytical hat.
To find out how many days Zai will have lacrosse and piano lessons on the same day in 60 days, we need to find the least common multiple of 6 and 4.
So, let's clownishly calculate this.
The multiples of 6 are: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72, 78, 84, 90, 96, and so on.
The multiples of 4 are: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60, 64, 68, 72, 76, 80, 84, 88, 92, 96, and so on.
Notice that 12 is the smallest value that appears in both lists.
Therefore, Zai will have lacrosse and piano lessons on the same day every 12 days.
Now, let's divide 60 by 12 to find out how many times Zai will have lacrosse and piano lessons on the same day within 60 days:
60 ÷ 12 = 5
So, in 60 days, Zai will have lacrosse and piano lessons on the same day 5 times.
Hope that brings a smile to your face!
To find out how many days Zai will have lacrosse and piano lessons on the same day, we need to find the least common multiple (LCM) of 6 and 4.
The LCM is the smallest multiple that is divisible by both 6 and 4. We can find the LCM by listing the multiples of each number and finding the first common multiple.
Multiples of 6: 6, 12, 18, 24, 30, ...
Multiples of 4: 4, 8, 12, 16, 20, 24, 28, ...
From the lists above, we can see that the first common multiple is 12. So Zai will have lacrosse and piano lessons on the same day every 12 days.
To find out how many days Zai will have lacrosse and piano lessons on the same day within 60 days, we divide 60 by 12:
60 ÷ 12 = 5
Therefore, Zai will have lacrosse and piano lessons on the same day 5 times within 60 days.
To find out how many days Zai will have both lacrosse and piano lessons in 60 days, we need to find the least common multiple (LCM) of 6 and 4.
Step 1: List the multiples of each number:
Multiples of 6: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, ...
Multiples of 4: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60, ...
Step 2: Identify the common multiples:
Common multiples of 6 and 4: 12, 24, 36, 48, 60
Step 3: Determine the least common multiple (LCM):
The LCM of 6 and 4 is 12.
Therefore, Zai will have lacrosse lessons and piano lessons on the same day every 12 days.
To find out the number of times this will occur in 60 days, we divide 60 by 12:
60 ÷ 12 = 5
Therefore, Zai will have lacrosse lessons and piano lessons on the same day 5 times in 60 days.