# Rani read 52 pages of a book on Monday. On Tuesday, she read 1/6 of the remaining pages. If she still had half of the book left to be read, how many pages were there in the book?

2
by riaMehra740

2014-06-21T19:21:42+05:30
Solution: Let X be the total number of pages in the book # of pages read on Monday = 52 pages -------------------------- 1 # of remaining pages = X-52 Given that Rani reads 1/6 of the remaining pages on Tuesday # of pages read on Tuesday = ଵ଺ (Remaining Pages) = ଵ଺(X-52) ---------------------------- 2 At the end of Tuesday she has half the books still remaining = ௑ଶ ---------------------------- 3 Total number of pages remaining at end of Tuesday = Total pages – pages read on Monday – pages read on Tuesday So we can write ௑ଶ = X – 52 - ଵ଺(X-52). Solving for X with this equation ௑ଶ = ଺௑ିହଶሺ଺ሻି௑ାହଶ଺ or 3X = 5X-260 or 2X = 260 or X = 130 So the total number of pages in the book = 130
2014-06-22T14:03:02+05:30
Let Total Number of Pages be x.
If half of the book is left to be read after Tuesday, it means :-

pages read on monday + 1/6th of remaining pages = 1/2 of the total number of pages.

⇒ 52 +  =
⇒

⇒520+2x=6x
⇒4x=520
⇒x=520/4
⇒x=130

Therefore, Total number of pages is 130.