On Monday, Julian read ²₅ of a non-fiction book. On Tuesday, he read 47 pages of the non-fiction book. On Wednesday, he read ³₇ of the remaining book leaving 28 pages unread.

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

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

Number of remaining unread pages after reading on Wednesday
= 7 u - 3 u
= 4 u

4 u = 28

1 u = 28 ÷ 4 = 7

Number of pages that Julian read on Wednesday
= 3 u
= 3 x 7
= 21

(b) 
Working backwards.

Number of pages unread after reading on Tuesday
= 7 u
= 7 x 7
= 49

Total number of pages in the non-fiction book = 5 p

Number of pages unread after reading on Monday 
= 5 p - 2 p
= 3 p

3 p = 47 + 49
3 p = 96

1 p = 96 ÷ 3 = 32

Total number of pages in the non-fiction book
= 5 p
= 5 x 32
= 160

Answer(s): (a) 21; (b) 160