Mixed Applications (Hint: List all of the factors - that is the answer)

17) Candy brought 30 cookies to a party. List all the ways she can arrange them on a plate in equal rows.

18) David is setting up tables for 24 people at the party. The same number of people will sit at each table, and no one will sit alone. How many people can sit at each table? List all possibilities.

Candy can arrange in 1, 2, 3, 5, 6, 10, 15 ways

2, 3, 4, 6, 8, 12 number of people can sit at each table

Solution:

Candy brought 30 cookies to a party. List all the ways she can arrange them on a plate in equal rows.

Given that Candy brought 30 cookies to party

She has to arrange the ways she can arrange them on plate in equal rows

We have to list the factors of 30

factors of 30 = 1, 2, 3, 5, 6, 10, 15

So she can arrange in 8 ways

Possible arrangement are 1, 2, 3, 5, 6, 10, 15 rows

David is setting up tables for 24 people at the party. The same number of people will sit at each table, and no one will sit alone. How many people can sit at each table? List all possibilities.

Fcators of 24 = 1, 2, 3, 4, 6, 8, 12

Here we can eliminate 1 since given that no one will sit alone

Thus 2, 3, 4, 6, 8, 12 number of people can sit at each table