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Charlotte goes to the grocery store every 3 days and visits the gym every 4 days. If she did both errands today, how many days will pass before she does both on the same day again?

Question

Charlotte goes to the grocery store every 3 days and visits the gym every 4 days. If she did both errands today, how many days will pass before she does both on the same day again?

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Solution

To solve this problem, we need to find the least common multiple (LCM) of the two numbers, 3 and 4. The LCM of two numbers is the smallest number that is a multiple of both numbers.

Here are the steps:

  1. List the multiples of each number:

    Multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42, 45, 48, 51, 54, 57, 60, ...

    Multiples of 4: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60, ...

  2. Find the smallest number that appears in both lists:

    The smallest number that both lists share is 12.

So, Charlotte will go to the grocery store and the gym on the same day again in 12 days.

This problem has been solved

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