In one restaurant, the round table can seat 8 patrons and the oval table can seat 4 patrons. During lunch time, all the tables in the restaurant were occupied. The number of each type of tables in the restaurant is more than 7 and less than 14. If there were 140 patrons, find
(a) the number of oval tables
(b) the number of round tables
Oval tables |
Number of patrons around oval tables |
Round tables |
Number of patrons around round tables |
Total number of patrons |
8 |
8 x 4 = 32 |
8 |
8 x 8 = 64 |
32 + 64 = 96 (x) |
10 |
10 x 4 = 40 |
11 |
11 x 8 = 88 |
40 + 88 = 128 (x) |
11 |
11 x 4 = 44 |
12 |
12 x 8 = 96 |
44 + 96 = 140 (✓) |
(a)
Number of oval tables = 11
(b)
Number of round tables = 12
Answer(s): (a) 11; (b) 12