Respuesta :
Answer:
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 = [tex]\frac{15\times x}{10}[/tex] minutes
and Jayden skim through 15 pages in 10 minutes
So 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) = 350×15
22.5x + 2750 - 10x = 5250
12.5x = 5250 - 2750
12.5x = 2500
x = [tex]\frac{2500}{12.5}[/tex]
x = 200
Pages skimmed through = 275 - 200 = 75
Therefore, pages read by Jayden is 200 pages and skim through 75 pages.
Answer:
Jayden skim 75 pages.
Step-by-step explanation:
Consider the provided information.
First convert hours into minutes: 5 hours and 50 minutes can be written as:
5 × 60 + 50 = 350 minutes
let x is the number of minutes spent skimming. then the time spent in reading is (350-X).
He can read 10 pages in 15 minutes, skim through 15 pages in 10 minutes, and there are 275 page in book.
[tex]x\times \frac{15}{10}+ (350 - x) \times \frac{10}{15}= 275[/tex]
Now, solve for X.
[tex]x\times \frac{3}{2}+ (350 - x) \times \frac{2}{3}= 275[/tex]
[tex]\frac{9x+4(350-x)}{6}=275[/tex]
[tex]9x+1400-4x=1650[/tex]
[tex]5x=250[/tex]
[tex]x=50[/tex]
Hence, Jayden spent 50 minutes skimming.
The rate of 15 pages every 10 minutes, Thus the number of pages he skimmed is:
[tex]50\times \frac{15}{10}= 5\times 15=75[/tex]
Hence, he skim 75 pages.
