On Tuesday, Daniel read ³₈ of a non-fiction book. On Wednesday, he read 18 pages of the non-fiction book. On Thursday, he read ⁵₇ of the remaining book leaving 22 pages unread.

1. Find the number of pages read on Thursday.
2. Find the total number of pages in the non-fiction book.

(a)
Number of remaining unread pages after reading on Wednesday = 7 u

Number of remaining unread pages after reading on Thursday
= 7 u - 5 u
= 2 u

2 u = 22

1 u = 22 ÷ 2 = 11

Number of pages that Daniel read on Thursday
= 5 u
= 5 x 11
= 55

(b) 
Working backwards.

Number of pages unread after reading on Wednesday
= 7 u
= 7 x 11
= 77

Total number of pages in the non-fiction book = 8 p

Number of pages unread after reading on Tuesday 
= 8 p - 3 p
= 5 p

5 p = 18 + 77
5 p = 95

1 p = 95 ÷ 5 = 19

Total number of pages in the non-fiction book
= 8 p
= 8 x 19
= 152

Answer(s): (a) 55; (b) 152