Question

Bob is making key chains with blue and red beads. He wants each key chain to have the same amount of beads. There 20 blue beads and and 30 red beads. What is the GREATEST number of key chains he can make?

Answer 1

10 key chains

Explanation:

Find the gcf (greatest common factor),

Factors of 20: 1, 2, 4, 5, 10, 20

Factors of 30: 1, 2, 3, 5, 6, 10, 15, 30

The greatest common number from those lists is 10

To check, find out how many of each type of bead each key chain will have, and make sure that there aren't any extra beads:

Each keychain will have 2 blue beads and 3 red beads. None leftover.

So your answer will be 10

Hope this helped!