Question

Leon read 5/7 of the pages in his book. He has 28 pages left to read. How many pages did he read already

Answer 1

You know that he has read 5/7 of the book. This means that he has 2/7 of the book left. Therefore, 28 pages = 2/7 of the book. If you divide both sides by 2, you get 14 pages = 1/7 of the book. Multiply both sides by 5 and you get 70 pages = 5/7 of the book.

Answer 2

The number of pages he already read is:

70 pages

Explanation:

Let x be the total number of pages in the book.

It is given that:

Leon read 5/7 of the pages in his book.

This means that the number of pages that are left to read in the book are:

`1-(5)/(7)=(7-5)/(7)=(2)/(7)`

Also, it is given that:

He has 28 pages left to read.

i.e.

`(2)/(7)* x=28\\\\i.e.\\\\x=(28* 7)/(2)\\\\x=98`

Hence, the number of pages he already read is:

`=(5)/(7)* x\\\\=(5)/(7)* 98\\\\=70\ pages`

Hence, the answer is:

70