An auditorium has rows of seats with 8 seats in each row. Kayla knows there are at least 70 seats but fewer than 150 seats in the auditorium. how would you find all the possible number of rows, without having to check if 8 is a factor of every number between 70 and 150?

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Mathematics

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11 January, 20:30

An auditorium has rows of seats with 8 seats in each row. Kayla knows there are at least 70 seats but fewer than 150 seats in the auditorium. how would you find all the possible number of rows, without having to check if 8 is a factor of every number between 70 and 150?

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Katherine Howard · Answer 1

First of all, if there are at least 70 seats, there must be at least 9 rows. (9*8 = 72, which is required to have minimum 70 seats). And, maximum 150 seats are there, so 150/8 = 18.75, i. e. 18 rows can be there at maximum. So, the actual number of rows can be between 9 and 18. We can say that possible number of rows can be 9, 10, 11, 12, 13, 14, 15, 16, 17, or 18.