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Five typists can type $ 100 $ pages in a day. How many pages can $ 8 $ typist type in a day?

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Last updated date: 19th Jul 2024
Total views: 348k
Views today: 6.48k
Answer
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Hint: First of all, we shall note some important terms from the given question and they are typists, pages, and a day. In the given question, we got information that five typists can type $ 100 $ pages in a day. And our question is to calculate how many pages $ 8 $ typist can type in a day.
 Here, we need to calculate how many pages $ 1 $ typist can type in a day. If we found the number of pages in which $ 1 $ typist can type in a day, then we can easily find how many pages $ 8 $ typist can type in a day and it is our required solution too.
Complete step by step answer:

Given that five typists can type $ 100 $ pages in a day.
To find: The number of pages in which $ 8 $ typist can type in a day.
Before calculating the number of pages in which $ 8 $ typist can type in a day, we need to find how many pages $ 1 $ typist can type in a day.
The number of pages in which $ 5 $ typists can type in a day $ = 100 $
The number of pages in which $ 1 $ typists can type in a day\[ = \dfrac{{100}}{5}\]
Hence, the number of pages in which $ 1 $ typists can type in a day $ = 20 $ …… $ \left( 1 \right) $
Now, we shall get into our claim.
When we multiply the equation $ \left( 1 \right) $ by $ 8 $ on both sides, we will get our required answer.
That is, the number of pages in which $ 8 $ typists can type in a day $ = 20 \times 8 $
Hence, the number of pages in which $ 8 $ typists can type in a day $ = 160 $
Therefore, $ 8 $ typists can type $ 160 $ pages in a day.

Note: First we need to calculate how many pages $ 1 $ typist can type in a day. If we found the number of pages in which $ 1 $ typist can type in a day, then we can easily find how many pages $ 8 $ typist can type in a day and it is our required solution too.