Question

Math gives a quiz every 8 days, and Science gives a quiz every 10 days. On September 1, Math and Science had a quiz on the same day. In how many days will they have a quiz again on the same day?

A) 40 days
B) 16 days
C) 80 days
D) 20 days

Answer 1

The Math and Science quizzes will coincide again in 40 days after September 1, which is the least common multiple (LCM) of their respective quiz intervals of 8 and 10 days.

Step-by-step explanation:

The question asks when the Math and Science quizzes will coincide again given that Math gives a quiz every 8 days and Science gives a quiz every 10 days, and they both had a quiz on September 1. To find when they will align again, one must determine the least common multiple (LCM) of the two quiz intervals. The LCM of 8 and 10 is 40 days, so the Math and Science quizzes will next coincide in 40 days after September 1.