Mathematics

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?

2 Answer

  • 5x=60 
    x=12
    2x=24

    ......
  • 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:

    [tex]\frac{2}{5}=\frac{x}{60}[/tex]

    [tex]5x=120[/tex]

    x=24

    Hence, Carlotta needs 24 orange beads for her necklace.

    Blue beads needed = [tex]60-24=36[/tex]

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

    [tex]\frac{36}{24}[/tex]

    Divide by 4, we get

    [tex]\frac{9}{6}[/tex]

    Divide by 3, we get

    [tex]\frac{3}{2}[/tex]  ...... (the given ratio)

    Therefore, Carlotta needs 24 orange beads for her necklace.

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