In one coffee shop, the round table can seat 7 people and the rectangular table can seat 4 people. During lunch time, all the tables in the coffee shop were occupied. The number of each type of tables in the coffee shop is more than 3 and less than 10. If there were 84 people, find
(a) the number of rectangular tables
(b) the number of round tables
Rectangular tables |
Number of people around rectangular tables |
Round tables |
Number of people around round tables |
Total number of people |
4 |
4 x 4 = 16 |
4 |
4 x 7 = 28 |
16 + 28 = 44 (x) |
6 |
6 x 4 = 24 |
7 |
7 x 7 = 49 |
24 + 49 = 73 (x) |
7 |
7 x 4 = 28 |
8 |
8 x 7 = 56 |
28 + 56 = 84 (✓) |
(a)
Number of rectangular tables = 7
(b)
Number of round tables = 8
Answer(s): (a) 7; (b) 8