Jose can read 7 pages of his book in 5 minutes. At this rate, how long will it take him to read the entire 175 page book?
125 minutes, or 2 hours and 5 minutes.
\(\frac{5}7 = \frac{x}{175}\)
cross multiply
5*175=7x
875=7x
\(\frac{875}7=x\)
125=x
set up a proportion pages/pages= minutes/ minutes
7/175=5/x
Note: x is the unkown variable or how long it will take him to read a 175 page book.
--Now do the math-- or cross multiply--
7(x)=175(5)
reduce it down
7(x)=875
divide both sides by 7 in order to get variable x alone
x=125
So it will take Jose 125 minutes to read the entire 175 page book.