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Andre and Elena are reading the same book over the summer.. Andre says he has read 1/5 of the book. Elena says she has read 20 more pages than Andre. If Elena is on page 55, how many pages are in the book?

Respuesta :

absor201

There are 175 pages in the book.

Step-by-step explanation:

Given,

Pages read by Elena = 55 pages

Let,

x be the number of pages of book.

Pages read by Andre = [tex]\frac{1}{5}\ of\ total\ pages = \frac{1}{5}x[/tex]

As Elena has read 20 more pages than Andre, therefore,

[tex]\frac{1}{5}x+20=55\\\\\frac{1}{5}x=55-20\\\\\frac{1}{5}x=35[/tex]

Multiplying both sides by 5

[tex]5*\frac{1}{5}x=35*5\\\\x=175[/tex]

There are 175 pages in the book.

Keywords: fraction, variable

Learn more about functions at:

  • brainly.com/question/10435836
  • brainly.com/question/10541435

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