Respuesta :

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:

The number of pages he already read is:

                              70 pages

Step-by-step 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:

[tex]1-\dfrac{5}{7}=\dfrac{7-5}{7}=\dfrac{2}{7}[/tex]

Also, it is given that:

He has 28 pages left to read.

i.e.

[tex]\dfrac{2}{7}\times x=28\\\\i.e.\\\\x=\dfrac{28\times 7}{2}\\\\x=98[/tex]

Hence, the number of pages he already read is:

[tex]=\dfrac{5}{7}\times x\\\\=\dfrac{5}{7}\times 98\\\\=70\ pages[/tex]

              Hence, the answer is:

                        70

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