In one restaurant, the oval table can seat 7 people and the round table can seat 4 people. During meal time, all the tables in the restaurant were occupied. The number of each type of tables in the restaurant is more than 5 and less than 12. If there were 106 people, find
(a) the number of round tables
(b) the number of oval tables
Round tables |
Number of people around round tables |
Oval tables |
Number of people around oval tables |
Total number of people |
6 |
6 x 4 = 24 |
6 |
6 x 7 = 42 |
24 + 42 = 66 (x) |
8 |
8 x 4 = 32 |
9 |
9 x 7 = 63 |
32 + 63 = 95 (x) |
9 |
9 x 4 = 36 |
10 |
10 x 7 = 70 |
36 + 70 = 106 (✓) |
(a)
Number of round tables = 9
(b)
Number of oval tables = 10
Answer(s): (a) 9; (b) 10