On Monday, Jack read
35 of a guide book. On Tuesday, he read 14 pages of the guide book. On Wednesday, he read
38 of the remaining book leaving 30 pages unread.
- Find the number of pages read on Wednesday.
- Find the total number of pages in the guide book.
(a)
Number of remaining unread pages after reading on Tuesday = 8 u
Number of remaining unread pages after reading on Wednesday
= 8 u - 3 u
= 5 u
5 u = 30
1 u = 30 ÷ 5 = 6
Number of pages that Jack read on Wednesday
= 3 u
= 3 x 6
= 18
(b)
Working backwards.
Number of pages unread after reading on Tuesday
= 8 u
= 8 x 6
= 48
Total number of pages in the guide book = 5 p
Number of pages unread after reading on Monday
= 5 p - 3 p
= 2 p
2 p = 14 + 48
2 p = 62
1 p = 62 ÷ 2 = 31
Total number of pages in the guide book
= 5 p
= 5 x 31
= 155
Answer(s): (a) 18; (b) 155