Question

Marie has a math air every 12 days and dents quiz every 15 days. Today she has two quizzes. When is the next time that she will have them on the same day?

a. 60 days
b. 30 days
c. 180 days
d. 90 days

Answer 1

The next time Marie will have both the math fair and the science quiz on the same day is in 60 days, which is the Least Common Multiple (LCM) of 12 and 15.

Step-by-step explanation:

The student's question asks for the next time when two recurring events, one happening every 12 days and the other every 15 days, coincide. To solve this, we need to find the Least Common Multiple (LCM) of 12 and 15. The LCM of two numbers is the smallest number that is a multiple of both.

To find the LCM, we can list the multiples of 12 and 15:

• Multiples of 12: 12, 24, 36, 60, 72...
• Multiples of 15: 15, 30, 45, 60, 75...

The smallest common multiple is 60. Therefore, Marie will have both the math and the science quiz on the same day in 60 days.