Question

The radioactive element​ carbon-14 has a​ half-life of 5750 years. A scientist determined that the bones from a mastodon had lost 57.5​% of their​ carbon-14. How old were the bones at the time they were​ discovered?

Answer 1

Therefore, the bones were 6612.5 years old at the time they were discovered.

Half life

Given that the radioactive element​ carbon-14 has a​ half-life of 5750 years, and a scientist determined that the bones from a mastodon had lost 57.5​% of their​ carbon-14, to determine how old were the bones at the time they were discovered, the following calculation must be made:

• 50 = 5750
• 100 = 11500
• 57.5 = X
• 57.5 x 11500 / 100 = X
• 6612.5 = X

Therefore, the bones were 6612.5 years old at the time they were discovered.

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