In one eating house, the rectangular table can seat 10 customers and the round table can seat 4 customers. During meal time, 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 164 customers, find
(a) the number of round tables
(b) the number of rectangular tables
Round tables |
Number of customers around round tables |
Rectangular tables |
Number of customers around rectangular tables |
Total number of customers |
8 |
8 x 4 = 32 |
8 |
8 x 10 = 80 |
32 + 80 = 112 (x) |
10 |
10 x 4 = 40 |
11 |
11 x 10 = 110 |
40 + 110 = 150 (x) |
11 |
11 x 4 = 44 |
12 |
12 x 10 = 120 |
44 + 120 = 164 (✓) |
(a)
Number of round tables = 11
(b)
Number of rectangular tables = 12
Answer(s): (a) 11; (b) 12