Question

Brooke has to set up 70chairs in equal rows for the class talent show.But,there is not room for more than 20 rows. What are the possible number of rows that Brooke can set up

Answer 1

R = rows

C = columns

The chairs will be arranged in a way such that R * C
`\geq` 70

We know that R
`\leq` 20

70 / 20 = 3.5; however, you can't have half of a chair.

So find all the factors of 70 which don't exceed 20.

1, 70

2, 35

5, 14

7, 10

There are four ways that Brooke can set up the chairs:

5 rows of 14

7 rows of 10

10 rows of 7

14 rows of 5