In one eating house, the round table can seat 8 diners and the oval 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 3 and less than 10. If there were 85 diners, find
(a) the number of oval tables
(b) the number of round tables
Oval tables |
Number of diners around oval tables |
Round tables |
Number of diners around round tables |
Total number of diners |
4 |
4 x 3 = 12 |
4 |
4 x 8 = 32 |
12 + 32 = 44 (x) |
6 |
6 x 3 = 18 |
7 |
7 x 8 = 56 |
18 + 56 = 74 (x) |
7 |
7 x 3 = 21 |
8 |
8 x 8 = 64 |
21 + 64 = 85 (✓) |
(a)
Number of oval tables = 7
(b)
Number of round tables = 8
Answer(s): (a) 7; (b) 8