In one canteen, the oval table can seat 8 people and the round table can seat 4 people. During dinner time, all the tables in the canteen were occupied. The number of each type of tables in the canteen is more than 6 and less than 12. If there were 116 people, find
(a) the number of round tables
(b) the number of oval tables
Round tables |
Number of people around round tables |
Oval tables |
Number of people around oval tables |
Total number of people |
7 |
7 x 4 = 28 |
7 |
7 x 8 = 56 |
28 + 56 = 84 (x) |
8 |
8 x 4 = 32 |
9 |
9 x 8 = 72 |
32 + 72 = 104 (x) |
9 |
9 x 4 = 36 |
10 |
10 x 8 = 80 |
36 + 80 = 116 (✓) |
(a)
Number of round tables = 9
(b)
Number of oval tables = 10
Answer(s): (a) 9; (b) 10