Question

Carlotta is making blue and orange necklaces in several lengths. For each necklace, her ratio of blue beads to orange beads is 3 to 2. How many orange beads will Carlotta need for a necklace of 60 beads?

Answer 1

5x=60
x=12
2x=24

......

Answer 2

Carlotta needs 24 orange beads for her necklace.

Explanation:

For each necklace, the ratio of blue beads to orange beads is 3 to 2. or 3:2

Total beads given to make a necklace is = 60

Let the number of orange beads be = x

The ratio is 2 orange beads out of 5 total beads

So, we can represent the ratio as:

`(2)/(5)=(x)/(60)`

`5x=120`

x=24

Hence, Carlotta needs 24 orange beads for her necklace.

Blue beads needed =
`60-24=36`

We can also check the ratio for blue beads to orange beads:

`(36)/(24)`

Divide by 4, we get

`(9)/(6)`

Divide by 3, we get

`(3)/(2)` ...... (the given ratio)

Therefore, Carlotta needs 24 orange beads for her necklace.