In one coffee shop, the rectangular table can seat 8 people and the round table can seat 4 people. During lunch time, all the tables in the coffee shop were occupied. The number of each type of tables in the coffee shop is more than 8 and less than 15. If there were 140 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 |
9 |
9 x 4 = 36 |
9 |
9 x 8 = 72 |
36 + 72 = 108 (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 round tables = 11
(b)
Number of rectangular tables = 12
Answer(s): (a) 11; (b) 12