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?
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To find the number of orange beads needed for a necklace of 60 beads, we first need to determine the ratio of blue to orange beads.
The given ratio is 3 to 2, which means for every 3 blue beads, there are 2 orange beads.
To find the number of orange beads, we need to use the ratio to set up a proportion.
Let's let x represent the number of orange beads needed for a necklace of 60 beads.
The proportion can be set up as follows:
3 blue beads / 2 orange beads = 60 blue beads / x orange beads
To solve for x, we can cross-multiply:
3 * x = 2 * 60
3x = 120
Divide both sides of the equation by 3:
x = 120 / 3
x = 40
Therefore, Carlotta will need 40 orange beads for a necklace of 60 beads.
2/5 = x/60
Cross multiply and solve for x