In one eating house, the rectangular table can seat 8 people and the round table can seat 3 people. 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 7 and less than 14. If there were 118 people, find
(a) the number of round tables
(b) the number of rectangular tables
Round tables |
Number of people around round tables |
Rectangular tables |
Number of people around rectangular tables |
Total number of people |
8 |
8 x 3 = 24 |
8 |
8 x 8 = 64 |
24 + 64 = 88 (x) |
9 |
9 x 3 = 27 |
10 |
10 x 8 = 80 |
27 + 80 = 107 (x) |
10 |
10 x 3 = 30 |
11 |
11 x 8 = 88 |
30 + 88 = 118 (✓) |
(a)
Number of round tables = 10
(b)
Number of rectangular tables = 11
Answer(s): (a) 10; (b) 11