On Monday, Simon read ³₅ of a guide book. On Tuesday, he read 10 pages of the guide book. On Wednesday, he read ³₇ of the remaining book leaving 16 pages unread.

1. Find the number of pages read on Wednesday.
2. Find the total number of pages in the guide 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 = 16

1 u = 16 ÷ 4 = 4

Number of pages that Simon read on Wednesday
= 3 u
= 3 x 4
= 12

(b) 
Working backwards.

Number of pages unread after reading on Tuesday
= 7 u
= 7 x 4
= 28

Total number of pages in the guide book = 5 p

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

2 p = 10 + 28
2 p = 38

1 p = 38 ÷ 2 = 19

Total number of pages in the guide book
= 5 p
= 5 x 19
= 95

Answer(s): (a) 12; (b) 95