In one eating house, the rectangular table can seat 10 diners and the round table can seat 4 diners. 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 6 and less than 12. If there were 136 diners, find
(a) the number of round tables
(b) the number of rectangular tables
Round tables |
Number of diners around round tables |
Rectangular tables |
Number of diners around rectangular tables |
Total number of diners |
7 |
7 x 4 = 28 |
7 |
7 x 10 = 70 |
28 + 70 = 98 (x) |
8 |
8 x 4 = 32 |
9 |
9 x 10 = 90 |
32 + 90 = 122 (x) |
9 |
9 x 4 = 36 |
10 |
10 x 10 = 100 |
36 + 100 = 136 (✓) |
(a)
Number of round tables = 9
(b)
Number of rectangular tables = 10
Answer(s): (a) 9; (b) 10