On Wednesday, Rael read ⁴₇ of a story book. On Thursday, he read 29 pages of the story book. On Friday, he read ³₅ of the remaining book leaving 22 pages unread.

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

(a)
Number of remaining unread pages after reading on Thursday = 5 u

Number of remaining unread pages after reading on Friday
= 5 u - 3 u
= 2 u

2 u = 22

1 u = 22 ÷ 2 = 11

Number of pages that Rael read on Friday
= 3 u
= 3 x 11
= 33

(b) 
Working backwards.

Number of pages unread after reading on Thursday
= 5 u
= 5 x 11
= 55

Total number of pages in the story book = 7 p

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

3 p = 29 + 55
3 p = 84

1 p = 84 ÷ 3 = 28

Total number of pages in the story book
= 7 p
= 7 x 28
= 196

Answer(s): (a) 33; (b) 196