Question

Matt has a quiz every 6th day of class, and Meg has a quiz every 3rd day of class. When will they have a quiz on the same day?

Answer 1

The correct answer is:

The 6th day.

Step-by-step explanation:

To solve this, we find the least common multiple (LCM) of 3 and 6. We find the prime factorization of each number:

3 = 3×1

6 = 2×3

We multiply the common factor, 3, by the uncommon factors, 2 and 1:

3×2×1 = 6

The LCM is 6; this means they will both have a quiz on the 6th day.

Answer 2

Since Matt has a quiz every 6 days and Meg has one every 3 days, every time Matt has a quiz Meg will also since 3 + 3 is 6.

Every other quiz for Meg will be with Matt, and their first one together will be on the 6th day of class.
Hope this helps!