Brooke has to set up 70 chairs in equal rows for the class talent show. But there is not room for more than 20 rows. What are th

Question

2 years ago

3

e possible number of rows that Brooke can set up

1 answer:

ehidna [41] · Answer 1 · 2023-12-19T02:08:45+03:00

The possible number of rows that Brooke can set up is

2, 5, 7, 10, and 14.

<h3>What are the possible number of rows that Brooke can set up?</h3>

Let's say that the total number of rows is x. The maximum number of rows that may be accommodated is 20.

x ≤ 20

When we divide 70 by x, we must get a whole number since it is required that all rows be the same.

Therefore, we need to locate all divisors of 70 that are less than or equal to 20, and those divisors are the numbers 2, 5, 7, 10, and 14.

In conclusion, The following are hence the possibilities:

two rows, with each row including 35 seats.

There are 5 rows, and each row has 14 seats in it.

There are seven rows, with ten seats in each row.

There are 10 rows, and there are 7 seats in each row.

There are 14 rows, and there are 5 seats in each row.