Colouring book P has 82 fewer pages than Colouring book Q, and Colouring book R has 24 more pages than Colouring book Q. If Colouring book P and Colouring book Q have a total of 220 pages,
- how many pages does Colouring book Q have?
- how many pages does Colouring book R have?
(a)
Number of pages that Colouring book P has = 1 u
Number of pages that Colouring book Q has = 1 u + 82
Number of pages that Colouring book R has = 1 u + 82 + 24
Total number of pages that Colouring book P and Colouring book Q have
= 1 u + 1 u + 82
= 2 u + 82
2 u + 82 = 220
2 u = 220 - 82
2 u = 138
1 u = 138 ÷ 2 = 69
Number of pages that Colouring book Q has
= 1 u + 82
= 69 + 82
= 151
(b)
Number of pages that Colouring book R has
= 1 u + 82 + 24
= 151 + 24
= 175
Answer(s): (a) 151; (b) 175
