Question

Joey has football practice every 3rd day and baseball practice every 7th day. If he has both football and baseball practice today, in how many days will he have them both again?

A) 14 days
B) 21 days
C) 6 days
D) 42 days

Answer 1

Joey will have both football and baseball practices on the same day again in 21 days, as the LCM of 3 and 7 is 21.

Step-by-step explanation:

Joey has football practice every 3rd day and baseball practice every 7th day. To find out when he will have both practices on the same day again, we need to calculate the Least Common Multiple (LCM) of 3 and 7. The LCM of 3 and 7 is the smallest number that both 3 and 7 will divide into without leaving a remainder.

Since 3 and 7 are both prime numbers, the LCM can be found simply by multiplying them together:

• LCM(3, 7) = 3 × 7 = 21

Therefore, Joey will have both football and baseball practice on the same day again in 21 days. The correct answer is B) 21 days.