Question

An auditorium has rows of seat 8 seats in each row. Kayla knows there are at least 70 seats but fewer than 150 seats in the auditorium. How many rows of seats can there be in the auditorium

Answer 1

The possible number of rows in the auditorium can be 9, 10, 11, 12, 13, 14, 15, 16, 17, or 18

Solution:

Given that auditorium has rows of seat 8 seats in each row

1 row = 8 seats

Kayla knows there are at least 70 seats but fewer than 150 seats in the auditorium

Let the number of seats be x

Therefore,

70 < x < 150

We know that 1 row has 8 seats

First number after 70 which is divisible by 8 is 72

$9 \times 8 = 72$

Since 8 is the number of seats in each row so, 9 denotes the number of rows

Last number just before 150 which is divisible by 8

$18 \times 8 = 144$

Since 8 is the number of seats in each row so, 18 denotes the number of rows

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