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.
