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?

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ApusApus ApusApus · Answer 1 · 2018-11-01T15:32:41+01:00

Answer:

Personal items=15

Step-by-step explanation:

We are given:

Total number of artifacts = 72.

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

[tex]\text{Shards of pottery}=72*\frac{2}{3} =24*2=48[/tex]

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

[tex]\text{Tools}=72*\frac{1}{8}=9[/tex]

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

[tex]\text{ Personal items}=72-(48+9)[/tex]

[tex]\text{ Personal items}=72-57=15[/tex]

Therefore, there are 15 personal items.