On Wednesday, Sean read ³₇ of a guide book. On Thursday, he read 13 pages of the guide book. On Friday, he read ⁵₇ of the remaining book leaving 34 pages unread.

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

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

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

2 u = 34

1 u = 34 ÷ 2 = 17

Number of pages that Sean read on Friday
= 5 u
= 5 x 17
= 85

(b) 
Working backwards.

Number of pages unread after reading on Thursday
= 7 u
= 7 x 17
= 119

Total number of pages in the guide book = 7 p

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

4 p = 13 + 119
4 p = 132

1 p = 132 ÷ 4 = 33

Total number of pages in the guide book
= 7 p
= 7 x 33
= 231

Answer(s): (a) 85; (b) 231