Question

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?

Answer 1

1. Add the first two fractions together, 1/5 + 1/4 + 1/3 = 4/2

2. Then add 12 + 15 + 18 = 45

3. Then add 70 + 45 = 115

The answer to this question is 115 total pages in the book. I hope this helped. Comment on this if u have any further questions or concerns.

Answer 2

Let's say that the whole book have 5a pages.

First day: a + 12

Second day: (4a)1/4+15= a + 15

Third day: (1/3)[ 4a - (a+15)] +18= a + 13

Forth day: 70

So we get this:

(a + 12) + (a + 15) + (a + 13) + 70 = 5a

a + 12 + a + 15 + a + 13 + 70 = 5a

3a + 110 = 5a

3a - 5a = -110

-2a = -110

a = 55

5a = 5(55) = 275

So the total pages are in the book is:

275 pages