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Tyler reads (2)/(15) of a book on monday, (1)/(3) of it on tuesday, (2)/(9) of it on wednesday, and (3)/(4) of the remainder on thursday. If he still has 14 pages left to read on friday, how many pages are in the book?

Tyler reads (2)/(15) of a book on monday, (1)/(3) of it on tuesday, (2)/(9) of it on wednesday, and (3)/(4) of the remainder on thursday. If he still has 14 pages left to read on friday, how many pages are in the book?

Final answer:To find the total number of pages in the book, we add up the fractions Tyler read each day. Then, we solve an equation to find x, representing the total pages. The total number of pages in the book is approximately 45.Explanation:To find the total number of pages in the book, we need to add up the fractions of the book that Tyler read each day. On Monday, he read (2)/(15) of the book, on Tuesday he read (1)/(3) of it, on Wednesday he read (2)/(9) of it, and on Thursday he read (3)/(4) of the remainder. Let's calculate:The fraction Tyler read on Monday is (2)/(15) of the book. We can convert this fraction to a decimal by dividing the numerator (2) by the denominator (15). The result is approximately 0.1333.The fraction Tyler read on Tuesday is (1)/(3) of the book. We can convert this fraction to a decimal by dividing the numerator (1) by the denominator (3). The result is approximately 0.3333.The fraction Tyler read on Wednesday is (2)/(9) of the book. We can convert this fraction to a decimal by dividing the numerator (2) by the denominator (9). The result is approximately 0.2222.Finally, on Thursday, Tyler read (3)/(4) of the remainder. To calculate the remainder, we subtract the sum of the fractions Tyler has already read (0.1333 + 0.3333 + 0.2222) from 1 (since the remainder is what's left of the book). The result is 0.3112. To find out how many pages he read on Thursday, we multiply this decimal by the total number of pages in the book (which we'll call 'x'). So, 0.3112 * x = 14.To solve for x, we divide both sides of the equation by 0.3112: x = 14 / 0.3112. The result is approximately 45 pages, which is the total number of pages in the book.Learn more about Total number of pages in the book...

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