the school cefeteria serves pizza every sixth day and applesauce every eight day. if pizza and applesauce are both on today's menu, how many days will it be before they are both on the menu again"
what is the smallest number divisible by both 6 and 8?
6 = 3*2
8 = 4*2
Every factor has to appear, so, you need 3*4*2 = 24
3 times 4 equals 12 times two is 24
24
To find out how many days it will be before pizza and applesauce are both on the menu again, we need to find the least common multiple (LCM) of 6 and 8. The LCM is the smallest positive integer that is divisible by both 6 and 8.
To find the LCM, we can list the multiples of each number and find the smallest common multiple:
Multiples of 6: 6, 12, 18, 24, 30, 36, 42, ...
Multiples of 8: 8, 16, 24, 32, 40, 48, ...
From the list, we can see that the smallest common multiple of 6 and 8 is 24. Therefore, it will be 24 days before both pizza and applesauce are on the menu again.