On Monday, Zane read
58 of a textbook. On Tuesday, he read 43 pages of the textbook. On Wednesday, he read
35 of the remaining book leaving 14 pages unread.
- Find the number of pages read on Wednesday.
- Find the total number of pages in the textbook.
(a)
Number of remaining unread pages after reading on Tuesday = 5 u
Number of remaining unread pages after reading on Wednesday
= 5 u - 3 u
= 2 u
2 u = 14
1 u = 14 ÷ 2 = 7
Number of pages that Zane read on Wednesday
= 3 u
= 3 x 7
= 21
(b)
Working backwards.
Number of pages unread after reading on Tuesday
= 5 u
= 5 x 7
= 35
Total number of pages in the textbook = 8 p
Number of pages unread after reading on Monday
= 8 p - 5 p
= 3 p
3 p = 43 + 35
3 p = 78
1 p = 78 ÷ 3 = 26
Total number of pages in the textbook
= 8 p
= 8 x 26
= 208
Answer(s): (a) 21; (b) 208