In one eating house, the oval table can seat 10 patrons and the round table can seat 4 patrons. During the buffet, 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 11. If there were 122 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 10 = 50 |
20 + 50 = 70 (x) |
7 |
7 x 4 = 28 |
8 |
8 x 10 = 80 |
28 + 80 = 108 (x) |
8 |
8 x 4 = 32 |
9 |
9 x 10 = 90 |
32 + 90 = 122 (✓) |
(a)
Number of round tables = 8
(b)
Number of oval tables = 9
Answer(s): (a) 8; (b) 9