Guide book R has 52 fewer pages than Guide book S, and Guide book T has 19 more pages than Guide book S. If Guide book R and Guide book S have a total of 150 pages,
- how many pages does Guide book S have?
- how many pages does Guide book T have?
(a)
Number of pages that Guide book R has = 1 u
Number of pages that Guide book S has = 1 u + 52
Number of pages that Guide book T has = 1 u + 52 + 19
Total number of pages that Guide book R and Guide book S have
= 1 u + 1 u + 52
= 2 u + 52
2 u + 52 = 150
2 u = 150 - 52
2 u = 98
1 u = 98 ÷ 2 = 49
Number of pages that Guide book S has
= 1 u + 52
= 49 + 52
= 101
(b)
Number of pages that Guide book T has
= 1 u + 52 + 19
= 101 + 19
= 120
Answer(s): (a) 101; (b) 120