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Pie
3 years ago
8

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?
Mathematics
1 answer:
Reika [66]3 years ago
8 0

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.

\text{Shards of pottery}=72*\frac{2}{3} =24*2=48

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

\text{Tools}=72*\frac{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.

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