In one restaurant, the round table can seat 8 diners and the rectangular table can seat 3 diners. During dinner time, all the tables in the restaurant were occupied. The number of each type of tables in the restaurant is more than 6 and less than 12. If there were 107 diners, find
(a) the number of rectangular tables
(b) the number of round tables
Rectangular tables |
Number of diners around rectangular tables |
Round tables |
Number of diners around round tables |
Total number of diners |
7 |
7 x 3 = 21 |
7 |
7 x 8 = 56 |
21 + 56 = 77 (x) |
8 |
8 x 3 = 24 |
9 |
9 x 8 = 72 |
24 + 72 = 96 (x) |
9 |
9 x 3 = 27 |
10 |
10 x 8 = 80 |
27 + 80 = 107 (✓) |
(a)
Number of rectangular tables = 9
(b)
Number of round tables = 10
Answer(s): (a) 9; (b) 10