In one eating house, the oval table can seat 8 diners and the round table can seat 3 diners. During lunch time, all the tables in the eating house were occupied. The number of each type of tables in the eating house is more than 6 and less than 12. If there were 107 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 |
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 round tables = 9
(b)
Number of oval tables = 10
Answer(s): (a) 9; (b) 10