Colouring book M has 78 fewer pages than Colouring book N, and Colouring book P has 34 more pages than Colouring book N. If Colouring book M and Colouring book N have a total of 150 pages,
- how many pages does Colouring book N have?
- how many pages does Colouring book P have?
(a)
Number of pages that Colouring book M has = 1 u
Number of pages that Colouring book N has = 1 u + 78
Number of pages that Colouring book P has = 1 u + 78 + 34
Total number of pages that Colouring book M and Colouring book N have
= 1 u + 1 u + 78
= 2 u + 78
2 u + 78 = 150
2 u = 150 - 78
2 u = 72
1 u = 72 ÷ 2 = 36
Number of pages that Colouring book N has
= 1 u + 78
= 36 + 78
= 114
(b)
Number of pages that Colouring book P has
= 1 u + 78 + 34
= 114 + 34
= 148
Answer(s): (a) 114; (b) 148