Question

Irene is going to read a 216-page book.

Answer 1

Answer: 4 days

Step-by-step explanation:

The complete exercise is "Irene is going to read a 216-page book. If she reads at a rate of 18 pages per day, how many days will it take her to read $\frac{1}{3}$ of the book?"

 For this problem you can calculate how many pages $\frac{1}{3}$ of the book represents.

According to the information given in the exercise, you know that total number of pages the book has is the following:

$total=216$

Therefore, knowing that, you need to multiply that total pages by  $\frac{1}{3}$ . So you get that:

$\frac{1}{3}(216\ pages)= 72\ pages$

Now, let "x" represents the number of days that will take Irene to read 72 pages.

Knowing that Irene reads the book at a rate of 18 pages per day, you can set up the following proportion:

$\frac{1}{18}=\frac{x}{72}$

Finally, you have to solve for "x" in order to find its value. You get that this is:

$(72)(\frac{1}{18})=x\\\\\frac{72}{18}=x\\\\x=4$

Therefore, it will take her 4 days to read   $\frac{1}{3}$ of the book.