The school cafeteria serves pizza every sixth day and applesauce every eight day. If pizza and applesauce are both on today's menu. In how many days will they be together on the menu again ?
least common multiple
first factor each
6 = 2*3
8 = 2*2*2
so we need 3*2*2*2 = 3*8 = 24
in 24 days
24
24
To determine how many days it will take for pizza and applesauce to appear together on the menu again, we need to find the least common multiple (LCM) of 6 and 8.
Step 1: List the multiples of each number:
Multiples of 6: 6, 12, 18, 24, 30, ...
Multiples of 8: 8, 16, 24, 32, 40, ...
Step 2: Identify the first common multiple: From the lists above, we can see that 24 is the first number that appears in both lists.
Therefore, pizza and applesauce will be together on the menu again in 24 days.