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Canteen A, canteen B and Canteen C repeat their lunch means every 12 days, 8days and 10 days respectively. All three canteens serve noodles soup today. How many days later will all three canteen serving noodles soup again?

1 Answer

5 votes

Answer:

120 days

Explanation:

Canteen A = 12 days

Canteen B = 8 days

Canteen C = 10 days

How many days later will all three canteen serving noodles soup again?

To find the number of days all 3 canteens will serve food again, find the lowest common multiples of all 3 canteens

Canteen A = 12 days

34, 36, 48, 60, 72, 84, 96, 108, 120, 132, 144

Canteen B = 8 days

16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96, 104, 112, 120

Canteen C = 10 days

20, 30, 40, 50, 60, 70, 80, 90, 100, 110, 120, 130

The lowest common multiple of 12 days, 8 days and 10 days is 120 days

The next day all 3 canteens will serve soup together again is the next 120 days

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