You have 16 yellow beads 20 red beads and 24 orange beads to make identical bracelet what is the greatest number of races you can make using all the beads how many of each bead will be used on each bracelet

4 bracelets using 4 yellow, 5 red and 6 orange beads in each bracelet.

Step-by-step explanation:

We have been given that you have 16 yellow beads 20 red beads and 24 orange beads to make identical bracelet. We are asked to find the greatest numbers of bracelets you can make using all the beads.

To solve our given problem, we need to find greatest common factor of 16, 20 and 24.

Factors of 16: 1, 2, 4, 8, 16.

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

Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24.

We can see that greatest common factor of 16, 20 and 24 is 4, therefore, you can make 4 bracelets using all the beads.

Therefore, 4 yellow, 5 red and 6 orange beads will be used in each bracelet.