The diagram shows the number of tables (T) and the number of chairs (P) around the tables.
- Find the number of chairs needed when there are 10 tables.
- Find the number of tables if there are 74 chairs
- Find the number of chairs needed for 146 tables.
(a)
Pattern for the number of chairs
1 table: 1 x 2 + 2 = 4
2 tables: 2 x 2 + 2 = 6
3 tables: 3 x 2 + 2 = 8
Formula
Number of chairs = Number of tables x 2 + 2
Number of chairs for 10 tables
= 10 x 2 + 2
= 22
(b)
Number of tables for 74 chairs
= (74 - 2) ÷ 2
= 36
(c)
Number of chairs for 146 tables
= 146 x 2 + 2
= 294
Answer(s): (a) 22; (b) 36; (c) 294