On Tuesday, Jack read
37 of a guide book. On Wednesday, he read 29 pages of the guide book. On Thursday, he read
57 of the remaining book leaving 26 pages unread.
- Find the number of pages read on Thursday.
- Find the total number of pages in the guide book.
(a)
Number of remaining unread pages after reading on Wednesday = 7 u
Number of remaining unread pages after reading on Thursday
= 7 u - 5 u
= 2 u
2 u = 26
1 u = 26 ÷ 2 = 13
Number of pages that Jack read on Thursday
= 5 u
= 5 x 13
= 65
(b)
Working backwards.
Number of pages unread after reading on Wednesday
= 7 u
= 7 x 13
= 91
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 = 29 + 91
4 p = 120
1 p = 120 ÷ 4 = 30
Total number of pages in the guide book
= 7 p
= 7 x 30
= 210
Answer(s): (a) 65; (b) 210