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 the third day?
Alexia read 4200% of the book's pages on the third day.
This percentage represents the proportion of the book's total pages that Alexia read on the third day. On the first day, she read 1/2 (or 50%) of the book, and on the second day she read 1/3 (or roughly 33.33%) of the book. On the third day, she read the remaining pages, which amounts to 4200% of the book's total pages.
This is incorrect. Alexia read 50% of the book on the first day and about 33.33% of the book on the second day. Therefore, she read more than 3200% of the book over the first two days alone, meaning she must have read more than this amount on the third day.
This is incorrect. After the first two days, Alexia had already read more than 3600% of the book. Therefore, she must have read more than 3600% of the book on the third day.
This is incorrect. After reading 50% of the book on the first day and roughly 33.33% on the second day, Alexia had already read more than 4000% of the book. Therefore, she must have read more than 4000% on the third day.
This is correct. After reading 50% of the book on the first day and about 33.33% on the second day, Alexia read the remaining pages on the third day. This amounts to 4200% of the book's total pages.
Alexia read 4200% of the book's total pages on the third day. After reading half the book on the first day and a third on the second day, she finished the remaining pages on the third day. The incorrect choices underestimated the percentage of the book that Alexia read on the third day.
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