Answer:
There are 20 beads on the necklace.
Step-by-step explanation:
Given:
A beaded necklace is 2.5 feet long. Each bead is .25 inches wide & each pair of beads is separated by 1.25 inches of chain.
Now, to find the number of beads on the necklace.
The length of necklace = 2.5 feet.
So, we convert feet into inches by using conversion factor:
1 foot = 12 inches.
2.5 feet = 12 × 2.5 inches.
2.5 feet = 30 inches.
Thus, the length of necklace is 30 inches.
Let the number of beads be [tex]x.[/tex]
The width of each bead = 0.25 inches.
The each pair of beads is separated by 1.25 inches.
Now, we put an equation to get the number of beads:
[tex](0.25+1.25)x=30[/tex]
[tex]0.25x+1.25x=30[/tex]
[tex]1.50x=30[/tex]
Dividing both sides by 1.50 we get:
[tex]x=20.[/tex]
The number of beads = 20.
Therefore, there are 20 beads on the necklace.
