Arvilla laid out the stones for a necklace in a big circle, with each stone spaced an equal distance from its neighbors. She then counted the stones in order around the circle. Unfortunately, before she finished counting she lost track of where she had started, but she realized that she could figure out how many stones were in the circle after she noticed that the sixth stone was directly opposite the seventeenth stone. How many stones are in the necklace?

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joaobezerra joaobezerra · Answer 1 · 2022-04-07T09:49:51+02:00

Using proportions, it is found that there are 22 stones in the circle.

A proportion is a fraction of a total amount.

In this problem, the sixth stone was directly opposite the seventeenth stone, hence over half the circle, there was 11 stones.

Then, we apply the proportion, and get that:

0.5n = 11

n = 22.

There are 22 stones in the circle.

More can be learned about proportions at https://brainly.com/question/24372153