On Tuesday, Liam read
27 of a fiction book. On Wednesday, he read 17 pages of the fiction book. On Thursday, he read
57 of the remaining book leaving 18 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 = 7 u
Number of remaining unread pages after reading on Thursday
= 7 u - 5 u
= 2 u
2 u = 18
1 u = 18 ÷ 2 = 9
Number of pages that Liam read on Thursday
= 5 u
= 5 x 9
= 45
(b)
Working backwards.
Number of pages unread after reading on Wednesday
= 7 u
= 7 x 9
= 63
Total number of pages in the fiction book = 7 p
Number of pages unread after reading on Tuesday
= 7 p - 2 p
= 5 p
5 p = 17 + 63
5 p = 80
1 p = 80 ÷ 5 = 16
Total number of pages in the fiction book
= 7 p
= 7 x 16
= 112
Answer(s): (a) 45; (b) 112