On Thursday, Jenson read ³₇ of a guide book. On Friday, he read 24 pages of the guide book. On Saturday, he read ⁵₈ of the remaining book leaving 39 pages unread.

1. Find the number of pages read on Saturday.
2. Find the total number of pages in the guide book.

(a)
Number of remaining unread pages after reading on Friday = 8 u

Number of remaining unread pages after reading on Saturday
= 8 u - 5 u
= 3 u

3 u = 39

1 u = 39 ÷ 3 = 13

Number of pages that Jenson read on Saturday
= 5 u
= 5 x 13
= 65

(b) 
Working backwards.

Number of pages unread after reading on Friday
= 8 u
= 8 x 13
= 104

Total number of pages in the guide book = 7 p

Number of pages unread after reading on Thursday 
= 7 p - 3 p
= 4 p

4 p = 24 + 104
4 p = 128

1 p = 128 ÷ 4 = 32

Total number of pages in the guide book
= 7 p
= 7 x 32
= 224

Answer(s): (a) 65; (b) 224