Question

The different kinds of beads that Casey is

using to make purses come in packages of
3 and 9. What is the least number of each
kind of bead that Casey can buy to have an
equal number of each of the different kinds
of beads?

Answer 1

Casey can buy 3 packages with 3 beads and one package with 9 beads to have the same number of beads of each kind.

Explanation:

Given that:

The beads come in packages of 3 and 9.

To calculate the least number of beads that Casey can have, we will find the least common multiple of both packages.

Package of three = 3, 6, 9, 12, 15

Package of nine = 9, 18, 27, 36

The least common multiple of 3 and 9 is 9.

Hence,

Casey can buy 3 packages with 3 beads and one package with 9 beads to have the same number of beads of each kind.