Answer:
The book has a total of 25 chapters.
Step-by-step explanation:
- We are given that Jalen has read 14 chapters of his book.
- We are also given that 14 chapters is 56% of the entire book.
- We need to find how many chapters are in the book.
If 14 is 56% of the book, we can set up a proportion that can find the total number of chapters in the book.
A proportion looks like:
Our first fraction will be the two values we are given: 14 chapters and 56% of the book.
Then, our second fraction will contain an unknown variable. We would need to complete <u>this many chapters</u> to complete the book, so 100% of the book would be read once a certain number of chapters are reached. Therefore, we don't know how many chapters are needed to complete the book, so this is our unknown variable. We can define this as <em>x.</em>
Therefore, our second fraction is:
Now, we can set these fractions equal to each other.
Then, we can cross multiply our fractions to create an equation. Following our sample proportion, we would get:
So, we can follow the same policy with our proportion.
Therefore, 56% of the book is 14 chapters. With this information, we have determined that 100% of the book is 25 chapters.