In one eating house, the oval table can seat 8 patrons and the round table can seat 4 patrons. 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 4 and less than 10. If there were 92 patrons, find
(a) the number of round tables
(b) the number of oval tables
Round tables |
Number of patrons around round tables |
Oval tables |
Number of patrons around oval tables |
Total number of patrons |
5 |
5 x 4 = 20 |
5 |
5 x 8 = 40 |
20 + 40 = 60 (x) |
6 |
6 x 4 = 24 |
7 |
7 x 8 = 56 |
24 + 56 = 80 (x) |
7 |
7 x 4 = 28 |
8 |
8 x 8 = 64 |
28 + 64 = 92 (✓) |
(a)
Number of round tables = 7
(b)
Number of oval tables = 8
Answer(s): (a) 7; (b) 8