Textbook N has 63 fewer pages than Textbook P, and Textbook Q has 32 more pages than Textbook P. If Textbook N and Textbook P have a total of 189 pages,
- how many pages does Textbook P have?
- how many pages does Textbook Q have?
(a)
Number of pages that Textbook N has = 1 u
Number of pages that Textbook P has = 1 u + 63
Number of pages that Textbook Q has = 1 u + 63 + 32
Total number of pages that Textbook N and Textbook P have
= 1 u + 1 u + 63
= 2 u + 63
2 u + 63 = 189
2 u = 189 - 63
2 u = 126
1 u = 126 ÷ 2 = 63
Number of pages that Textbook P has
= 1 u + 63
= 63 + 63
= 126
(b)
Number of pages that Textbook Q has
= 1 u + 63 + 32
= 126 + 32
= 158
Answer(s): (a) 126; (b) 158