In one canteen, the rectangular table can seat 7 people and the round table can seat 3 people. During lunch time, all the tables in the canteen were occupied. The number of each type of tables in the canteen is more than 6 and less than 13. If there were 104 people, find
(a) the number of round tables
(b) the number of rectangular tables
Round tables |
Number of people around round tables |
Rectangular tables |
Number of people around rectangular tables |
Total number of people |
7 |
7 x 3 = 21 |
7 |
7 x 7 = 49 |
21 + 49 = 70 (x) |
8 |
8 x 3 = 24 |
10 |
10 x 7 = 70 |
24 + 70 = 94 (x) |
9 |
9 x 3 = 27 |
11 |
11 x 7 = 77 |
27 + 77 = 104 (✓) |
(a)
Number of round tables = 9
(b)
Number of rectangular tables = 11
Answer(s): (a) 9; (b) 11