Look at the figures. The rectangles represent tables and the dots represent chairs for guests at a party.
- How many tables will Figure 8 have?
- How many chairs will Figure 5 have?
- If there are 82 guests at the party, how many tables will be needed?
(a)
Pattern for the number of tables
Figure 1: 1
Figure 2: 2
Figure 3: 3
Formula
Number of tables = Figure number
Number of tables for Figure 8 = 8
(b)
Pattern for the number of chairs
Figure 1: 1 x 4 + 2 = 6
Figure 2: 2 x 4 + 2 = 10
Figure 3: 3 x 4 + 2 = 14
Formula
Number of chairs = Figure number x 4 + 2
Number of chairs for Figure 5
= 5 x 4 + 2
= 22
(c)
82 guests: 82 chairs
Figure number for 82 chairs
= (82 - 2) ÷ 4
= 20
Number of tables for Figure 20 = 20
Answer(s): (a) 4; (b) 22; (c) 20