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Complete Question
Melanie is making necklaces in four different lengths. n each necklace, the ratio of blue beads to orange beads remains the same. How many orange beads will Melanie need for a necklace of 50 beads?
Answer:
Melanie will need a total of 25 orange beads for a necklace of 50 beads
Step-by-step explanation:
Given
Ratio of blue beads to orange beads is the same.
This can be represented as 1:1
Required
Number of orange beads needed for a necklace of 50 beads.
From the given data, we have that the ratio of blue beads to orange beads is the same.
i.e. Blue:Orange = 1:1
To calculate the number of orange beads needed,
First, we have to convert the ratio to fraction.
This is done as follows;
Fraction of orange beads = Ratio of orange beads divided by Total Ratio
Ratio of orange beads = 1
Total Ratio = 1 + 1 = 2
Hence,
Fraction of orange beads = [tex]\frac{1}{2}[/tex]
This fraction will then be multiplied by the total number of beads to give the number of orange beads needed.
Number of orange beads needed = [tex]\frac{1}{2} * 50[/tex]
Number of orange beads needed = [tex]\frac{50}{2}[/tex]
Number of orange beads needed = [tex]25[/tex]
Hence, Melanie will need a total of 25 orange beads for a necklace of 50 beads