The school cafeteria serves pizza every 6th day and applesauce every day Thursday supposed to pizza and applesauce are both on today's menu in how many days will they be together on the menu again?
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To figure out in how many days pizza and applesauce will be together on the menu again, we need to find the least common multiple (LCM) of the two numbers.
The cafeteria serves pizza every 6th day and applesauce every 7th day (since there are 7 days in a week). We can find the LCM by finding the smallest number that is divisible by both 6 and 7.
One way to find the LCM is to list the multiples of each number until we find a common multiple. Let's do that:
Multiples of 6: 6, 12, 18, 24, 30, ...
Multiples of 7: 7, 14, 21, 28, 35, ...
From the lists above, we can see that the first common multiple is 42 (6 times 7). Therefore, pizza and applesauce will be together on the menu again after 42 days.
Please note that this assumes there is no pattern or irregularity in the days the cafeteria serves pizza and applesauce.