Question

A jewelry maker will use 24 jade beads and 30 teak beads to make necklaces. Each necklace will have the same numbers of jade beads and teak beads. What is the greatest number of necklaces she can make? How many beads of each type are on each necklaces? The jewelry maker can make at least 9 necklaces consisting of both beads.

Answer 1

We need to find the GCF of 24 and 30.
24 : 1, 2, 3, 4, 6, 8, 12, 24
30 : 1, 2, 3, 5, 6, 10, 15, 30
So the greatest number of necklaces she can make is 6 necklaces.
4 jade beads and 5 teak beads in each necklace.