Question

An archaeologist is categorizing the artifacts he has discovered. Two-thirds of the artifacts are shards of pottery. One-eighth of the artifacts are tools. The remaining artifacts are personal items, such as buttons, jewelry, and fragments of clothing. The archaeologist has discovered a total of 72 artifacts. How many of these are personal items?

Answer 1

Personal items=15

Explanation:

We are given:

Total number of artifacts = 72.

We are told that 2/3 of total artifacts are shards of pottery.

`\text{Shards of pottery}=72*(2)/(3) =24*2=48`

We are also told that 1/8 of total artifacts are tools.

`\text{Tools}=72*(1)/(8)=9`

Now we will find out number of personal items by subtracting combined number of shards of pottery and tools from total number of artifacts.

`\text{ Personal items}=72-(48+9)`

`\text{ Personal items}=72-57=15`

Therefore, there are 15 personal items.