Olivia reads 2/5 of her book on Monday. On Tuesday she reads 1/6 of what is remaining. On Wednesday she reads the final 35 pages. How many pages are in the book?
Number of pages ---- x
Monday: reads (2/5)x leaving (3/5)x
Tuesday: reads (1/6)(3/5)x = (1/10)x
Wednesday: reads remaining 35
(2/5)x + (1/10)x + 35 = x
multiply by 10
4x + x + 350 = 10x
350 = 5x
x = 70
the book had 70 pages