Question

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. How many beads are on the necklace?

Answer 1

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 $x.$

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:

$(0.25+1.25)x=30$

$0.25x+1.25x=30$

$1.50x=30$

Dividing both sides by 1.50 we get:

$x=20.$

The number of beads = 20.

Therefore, there are 20 beads on the necklace.