Rachel reads 1/5 of the pages of a book plus 12 pages on the first day. On the second day, she reads 1/4 of the remaining pages plus 15 pages. On the third day, she reads 1/3 of the remaining pages plus 18 pages. On the fourth day, she reads the remaining 70 pages. How many total pages are in the book?
Accepted Solution
A:
Answer:Let's say that the whole book have 5a pages.First day: a + 12Second day: (4a)1/4+15= a + 15Third day: (1/3)[ 4a - (a+15)] +18= a + 13Forth day: 70 So we get this:(a + 12) + (a + 15) + (a + 13) + 70 = 5aa + 12 + a + 15 + a + 13 + 70 = 5a3a + 110 = 5a3a - 5a = -110-2a = -110a = 555a = 5(55) = 275So the total pages are in the book is:275 pages