In one canteen, the round table can seat 9 patrons and the rectangular table can seat 3 patrons. During the buffet, all the tables in the canteen were occupied. The number of each type of tables in the canteen is more than 5 and less than 12. If there were 117 patrons, find
(a) the number of rectangular tables
(b) the number of round tables
Rectangular tables |
Number of patrons around rectangular tables |
Round tables |
Number of patrons around round tables |
Total number of patrons |
6 |
6 x 3 = 18 |
6 |
6 x 9 = 54 |
18 + 54 = 72 (x) |
8 |
8 x 3 = 24 |
9 |
9 x 9 = 81 |
24 + 81 = 105 (x) |
9 |
9 x 3 = 27 |
10 |
10 x 9 = 90 |
27 + 90 = 117 (✓) |
(a)
Number of rectangular tables = 9
(b)
Number of round tables = 10
Answer(s): (a) 9; (b) 10