Mathematics, 03.12.2020 09:00 TwentyOnePawPrints21

Jalen had read 14 chapters out of the book .. if this is 56% of the chapters, how many chapters are in the book?

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Answer from: mistymjoy

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:

$\displaystyle \frac{a}{b} = \frac{c}{d}$

Our first fraction will be the two values we are given: 14 chapters and 56% of the book.

$\displaystyle \frac{14}{56}$

Then, our second fraction will contain an unknown variable. We would need to complete this many chapters 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 x.

Therefore, our second fraction is:

$\displaystyle \frac{x}{100}$

Now, we can set these fractions equal to each other.

$\displaystyle \frac{14}{56} = \frac{x}{100}$

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.

$\displaystyle (14)(100) = (56)(x)\\\\1400 = 56x\\\\56x = 1400\\\\\frac{56x}{56} = \frac{1400}{56}\\\\x = 25$

Therefore, 56% of the book is 14 chapters. With this information, we have determined that 100% of the book is 25 chapters.

Answer from: Kekkdkskdkdk

25 Chapters

Step-by-step explanation:

We are given:

Number of Chapters read = 14

Percentage of Book finished = 56%

Number of Chapters in the Book:

Since 56% of 'x' chapters is 14:

$x*\frac{56}{100}$ = 14

$x = \frac{14 * 100}{56}$ [multiplying both sides by 100/56]

$x = \frac{100}{4}$ [since 14*4 = 56]

x = 25

Therefore, the book has 25 chapters

Answer from: Quest

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