If jayden is reading a 275 page book and can read 10 pages in 15 minutes, skim through 15 pages in 10 minutes, and finishes the book in 5 hours and 50 minutes (reading and skimming combined), how many pages did jayden have to skim through?

Jayden skimmed through 75 pages.

Step-by-step explanation:

Jayden is reading 275 page book.

Let Jyden read number of pages = x

and skimmed through pages = (275 -x)

Since Jayden read 10 pages in 15 minutes.

So time taken to read x pages = minutes

and Jayden skim through 15 pages in 10 minutes

So time taken to skim (275-x) pages = × (275-x)

Now we know Jayden took total time to read and skim the book = 5 hours and 50 minutes.

so

Multiply equation by 15.

22.5x + 10(275-x) = 350×15

22.5x + 2750 - 10x = 5250

12.5x = 5250 - 2750

12.5x = 2500

x =

x = 200

Pages skimmed through = 275 - 200 = 75

Therefore, pages read by Jayden is 200 pages and skim through 75 pages.

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