In one restaurant, the oval table can seat 8 diners and the round table can seat 5 diners. 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 11. If there were 112 diners, find
(a) the number of round tables
(b) the number of oval tables
Round tables |
Number of diners around round tables |
Oval tables |
Number of diners around oval tables |
Total number of diners |
6 |
6 x 5 = 30 |
6 |
6 x 8 = 48 |
30 + 48 = 78 (x) |
7 |
7 x 5 = 35 |
8 |
8 x 8 = 64 |
35 + 64 = 99 (x) |
8 |
8 x 5 = 40 |
9 |
9 x 8 = 72 |
40 + 72 = 112 (✓) |
(a)
Number of round tables = 8
(b)
Number of oval tables = 9
Answer(s): (a) 8; (b) 9