2. Alexia bought a book that is 252 pages long. She read the book in 3 days. The first day, she read 1/2 of the book's pages; the second day, she read 1/3 of the book's pages; and the third day, she read all the remaining pages. How many pages did Alexia read(he third day?
Answer: D
Alexia read 42 pages on the third day.
To determine how many pages Alexia read on the third day, we first calculate how many pages she read on the first and second days combined, then subtract that from the total number of pages in the book.
A) 32
Option A is incorrect. If Alexia had read 32 pages on the third day, then the total pages read on the first and second days would not account for the total number of pages in the book, as the calculations would suggest a discrepancy.
B) 36
Option B is incorrect. Similar to option A, if she read 36 pages on the third day, the total read on the first two days would not align with the 252 pages in the book, resulting in an incorrect total.
C) 40
Option C is incorrect. If Alexia read 40 pages on the third day, the pages read on the first two days would still not total to 252 pages, thus failing to meet the requirement of the problem's context.
D) 42
Option D is correct. On the first day, Alexia read 126 pages (1/2 of 252), and on the second day, she read 84 pages (1/3 of 252). Therefore, after reading a total of 210 pages (126 + 84), she had 42 pages left to read on the third day, which accurately reflects the total number of pages in the book.
Conclusion
The correct answer is D, as it accurately represents the number of pages Alexia had left after accounting for her reading on the first two days. All other options fail to meet the total page count of the book, demonstrating that only option D is consistent with the given information and calculations.