On Tuesday, Japheth read ³₇ of a guide book. On Wednesday, he read 24 pages of the guide book. On Thursday, he read ²₅ of the remaining book leaving 60 pages unread.

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

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

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

3 u = 60

1 u = 60 ÷ 3 = 20

Number of pages that Japheth read on Thursday
= 2 u
= 2 x 20
= 40

(b) 
Working backwards.

Number of pages unread after reading on Wednesday
= 5 u
= 5 x 20
= 100

Total number of pages in the guide book = 7 p

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

4 p = 24 + 100
4 p = 124

1 p = 124 ÷ 4 = 31

Total number of pages in the guide book
= 7 p
= 7 x 31
= 217

Answer(s): (a) 40; (b) 217