On Tuesday, Michael read
35 of a fiction book. On Wednesday, he read 50 pages of the fiction book. On Thursday, he read
37 of the remaining book leaving 24 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 - 3 u
= 4 u
4 u = 24
1 u = 24 ÷ 4 = 6
Number of pages that Michael read on Thursday
= 3 u
= 3 x 6
= 18
(b)
Working backwards.
Number of pages unread after reading on Wednesday
= 7 u
= 7 x 6
= 42
Total number of pages in the fiction book = 5 p
Number of pages unread after reading on Tuesday
= 5 p - 3 p
= 2 p
2 p = 50 + 42
2 p = 92
1 p = 92 ÷ 2 = 46
Total number of pages in the fiction book
= 5 p
= 5 x 46
= 230
Answer(s): (a) 18; (b) 230