Colouring book N has 67 fewer pages than Colouring book P, and Colouring book Q has 40 more pages than Colouring book P. If Colouring book N and Colouring book P have a total of 197 pages,
- how many pages does Colouring book P have?
- how many pages does Colouring book Q have?
(a)
Number of pages that Colouring book N has = 1 u
Number of pages that Colouring book P has = 1 u + 67
Number of pages that Colouring book Q has = 1 u + 67 + 40
Total number of pages that Colouring book N and Colouring book P have
= 1 u + 1 u + 67
= 2 u + 67
2 u + 67 = 197
2 u = 197 - 67
2 u = 130
1 u = 130 ÷ 2 = 65
Number of pages that Colouring book P has
= 1 u + 67
= 65 + 67
= 132
(b)
Number of pages that Colouring book Q has
= 1 u + 67 + 40
= 132 + 40
= 172
Answer(s): (a) 132; (b) 172