Today, both the wrestling and basketball team were scheduled to have practice in gym. Whoops! The wrestling team practices every 4 days and basketball team practices in the gym every 5 days. In how many days will they both be practicing in the gym on the same day?

Question

Mathematics

Casey Monroe

17 November, 17:08

Today, both the wrestling and basketball team were scheduled to have practice in gym. Whoops! The wrestling team practices every 4 days and basketball team practices in the gym every 5 days. In how many days will they both be practicing in the gym on the same day?

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Answers (1)

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David Sexton · Answer 1

20 days

Step-by-step explanation:

The number of days will be a multiple of both 4 and 5. The smallest such multiple is called the "least common multiple" (LCM). One way to figure the LCM is to divide the product of the numbers by their greatest common factor. Since 4 and 5 have no common factors, the LCM is 4·5 = 20.

Both teams will be practicing on the same day again in 20 days.