On Tuesday, Liam read
37 of a fiction book. On Wednesday, he read 40 pages of the fiction book. On Thursday, he read
38 of the remaining book leaving 35 pages unread.
- Find the number of pages read on Thursday.
- Find the total number of pages in the fiction book.
(a)
Number of remaining unread pages after reading on Wednesday = 8 u
Number of remaining unread pages after reading on Thursday
= 8 u - 3 u
= 5 u
5 u = 35
1 u = 35 ÷ 5 = 7
Number of pages that Liam read on Thursday
= 3 u
= 3 x 7
= 21
(b)
Working backwards.
Number of pages unread after reading on Wednesday
= 8 u
= 8 x 7
= 56
Total number of pages in the fiction book = 7 p
Number of pages unread after reading on Tuesday
= 7 p - 3 p
= 4 p
4 p = 40 + 56
4 p = 96
1 p = 96 ÷ 4 = 24
Total number of pages in the fiction book
= 7 p
= 7 x 24
= 168
Answer(s): (a) 21; (b) 168