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3 years ago

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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?

1 answer:

adelina 88 [10]3 years ago

6 0

Answer:

There are <u>20 beads</u> 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:

<em>1 foot = 12 inches.</em>

<em>2.5 feet = 12 × 2.5 inches.</em>

<em>2.5 feet = 30 inches.</em>

<u>Thus, the length of necklace is 30 inches.</u>

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:

$(0.25+1.25)x=30$

$0.25x+1.25x=30$

$1.50x=30$

<em>Dividing both sides by 1.50 we get:</em>

$x=20.$

<u><em>The number of beads = 20.</em></u>

Therefore, there are 20 beads on the necklace.

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