Question
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Jasmine is reading a book. She has finished \( \frac{4}{5} \) of the book and has 116 pages left to read. How many pages has she read? Jasmine has read \( \square \) pages.

Ask by Hilton Lowe. in the United States
Jan 25,2025

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Tutor-Verified Answer

Answer

Jasmine has read 464 pages.

Solution

To determine how many pages Jasmine has read, let's break down the information given: 1. **Fraction of the Book Completed:** Jasmine has finished \( \frac{4}{5} \) of the book. 2. **Pages Left to Read:** She has 116 pages remaining, which represents the remaining \( \frac{1}{5} \) of the book. 3. **Calculate the Total Number of Pages in the Book:** Since \( \frac{1}{5} \) of the book is 116 pages, the entire book (which is \( \frac{5}{5} \)) can be calculated as: \[ \text{Total pages} = 116 \text{ pages} \times 5 = 580 \text{ pages} \] 4. **Calculate the Number of Pages Jasmine Has Read:** Jasmine has read \( \frac{4}{5} \) of the book. Therefore: \[ \text{Pages read} = \frac{4}{5} \times 580 = 464 \text{ pages} \] Alternatively, you can subtract the remaining pages from the total: \[ \text{Pages read} = 580 \text{ pages} - 116 \text{ pages} = 464 \text{ pages} \] **Answer:** Jasmine has read **464** pages.

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Mind Expander

First, let's find the total number of pages in the book. If Jasmine has finished \( \frac{4}{5} \) of the book and has 116 pages left, this means that the remaining \( \frac{1}{5} \) corresponds to these 116 pages. Therefore, the total pages, \( x \), can be calculated as: \[ x = 116 \times 5 = 580 \text{ pages} \] Now, to find out how many pages Jasmine has read, we calculate \( \frac{4}{5} \) of the total pages: \[ \frac{4}{5} \times 580 = 464 \text{ pages} \] Thus, Jasmine has read \( 464 \) pages!

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