On Thursday, Tommy read ⁵₇ of a guide book. On Friday, he read 44 pages of the guide book. On Saturday, he read ⁴₇ of the remaining book leaving 60 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 = 7 u

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

3 u = 60

1 u = 60 ÷ 3 = 20

Number of pages that Tommy read on Saturday
= 4 u
= 4 x 20
= 80

(b) 
Working backwards.

Number of pages unread after reading on Friday
= 7 u
= 7 x 20
= 140

Total number of pages in the guide book = 7 p

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

2 p = 44 + 140
2 p = 184

1 p = 184 ÷ 2 = 92

Total number of pages in the guide book
= 7 p
= 7 x 92
= 644

Answer(s): (a) 80; (b) 644