Question

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

Answer 1

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

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.

`\text{Yellow beads used in each bracelet}=(16)/(4)`

`\text{Yellow beads used in each bracelet}=4`

`\text{Red beads used in each bracelet}=(20)/(4)`

`\text{Red beads used in each bracelet}=5`

`\text{Orange beads used in each bracelet}=(24)/(4)`

`\text{Orange beads used in each bracelet}=6`

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

Answer 2

To find how many identical bracelets you can make, you need to find a common denominator. In this case all three numbers; 16, 20 and 24, can be divided by four. So you now know you can have four bracelets. Then you take your numbers of each colour beads and divide them by four so you know how many of each colour will be on the bracelets. In the end you have four bracelets, each with 4 yellow beads, 5 red beads and 6 orange beads