College

Tehara has read 115 pages of a 305-page book. She reads 10 pages each day. How many days will it take to finish?

A. [tex]10 + 115p = 305[/tex]
B. [tex]10p + 305 = 115[/tex]
C. [tex]115 + 10p = 305[/tex]
D. [tex]115 \cdot 10p = 305[/tex]

Answer :

To solve this problem, we want to find out how many days it will take Tehara to finish reading her book.

1. Identify the total number of pages: The book has a total of 305 pages.

2. Identify the number of pages already read: Tehara has read 115 pages so far.

3. Calculate the remaining pages: To find out how many pages are left for her to read, we subtract the number of pages she has already read from the total number of pages:
[tex]\[
305 - 115 = 190
\][/tex]
So, Tehara still has 190 pages left to read.

4. Determine her reading pace: Tehara reads 10 pages each day.

5. Calculate the number of days needed to finish the book: To find out how many days it will take her to read the remaining pages, we divide the number of remaining pages by the number of pages she reads per day:
[tex]\[
\frac{190}{10} = 19
\][/tex]
Therefore, it will take Tehara 19 days to finish the book.

Now, we need to choose the correct equation from the given options to represent this situation. Since we found that she needs to read 10 pages a day to cover the remaining 190 pages, which means she previously read 115 pages out of a total of 305 pages, the correct equation that represents the total pages read over time is:

C. [tex]\(115 + 10p = 305\)[/tex]

This equation reflects that she has already read 115 pages and adds 10 pages per day, needing to reach a total of 305 pages.