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Anna and her friends made dinner reservations at two local restaurants on two different days. While the first restaurant sat all the friends in groups of 4, the second restaurant sat all the friends in groups of 20. What is the smallest number of people that could be in the group?

Question

Anna and her friends made dinner reservations at two local restaurants on two different days. While the first restaurant sat all the friends in groups of 4, the second restaurant sat all the friends in groups of 20. What is the smallest number of people that could be in the group?

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Solution

The smallest number of people that could be in the group is determined by finding the least common multiple (LCM) of the two numbers, 4 and 20.

Step 1: List the multiples of each number. Multiples of 4 are: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, etc. Multiples of 20 are: 20, 40, 60, 80, 100, etc.

Step 2: Identify the least common multiple. The smallest number that appears in both lists is 20.

Therefore, the smallest number of people that could be in the group is 20.

This problem has been solved

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