Answer:
Carlotta needs 24 orange beads for her necklace.
Step-by-step 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:
\(\frac{2}{5}=\frac{x}{60}\)
\(5x=120\)
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:
\(\frac{36}{24}\)
Divide by 4, we get
\(\frac{9}{6}\)
Divide by 3, we get
\(\frac{3}{2}\) ...... (the given ratio)
Therefore, Carlotta needs 24 orange beads for her necklace.
