In one eating house, the rectangular table can seat 7 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 8 and less than 15. If there were 128 patrons, find
(a) the number of round tables
(b) the number of rectangular tables
Round tables |
Number of patrons around round tables |
Rectangular tables |
Number of patrons around rectangular tables |
Total number of patrons |
9 |
9 x 4 = 36 |
9 |
9 x 7 = 63 |
36 + 63 = 99 (x) |
10 |
10 x 4 = 40 |
11 |
11 x 7 = 77 |
40 + 77 = 117 (x) |
11 |
11 x 4 = 44 |
12 |
12 x 7 = 84 |
44 + 84 = 128 (✓) |
(a)
Number of round tables = 11
(b)
Number of rectangular tables = 12
Answer(s): (a) 11; (b) 12