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?

Answer:Jayden skimmed through 75 pages.Step-by-step explanation:Jayden is reading 275 page book.Let Jyden read number of pages = xand skimmed through pages = (275 -x)Since Jayden read 10 pages in 15 minutes.So time taken to read x pages = [tex]\frac{15\times x}{10}[/tex] minutesand Jayden skim through 15 pages in 10 minutesSo time taken to skim (275-x) pages = [tex]\frac{10}{15}[/tex]× (275-x)Now we know Jayden took total time to read and skim the book = 5 hours and 50 minutes.so [tex]\frac{15}{10}x+ \frac{10}{15}(275-x)=350[/tex]Multiply equation by 15.22.5x + 10(275-x) = 350×1522.5x + 2750 - 10x = 525012.5x = 5250 - 275012.5x = 2500x = [tex]\frac{2500}{12.5}[/tex]x = 200Pages skimmed through = 275 - 200 = 75Therefore, pages read by Jayden is 200 pages and skim through 75 pages.