In one eating house, the rectangular table can seat 10 customers and the round table can seat 5 customers. 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 5 and less than 12. If there were 145 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 |
6 |
6 x 5 = 30 |
6 |
6 x 10 = 60 |
30 + 60 = 90 (x) |
8 |
8 x 5 = 40 |
9 |
9 x 10 = 90 |
40 + 90 = 130 (x) |
9 |
9 x 5 = 45 |
10 |
10 x 10 = 100 |
45 + 100 = 145 (✓) |
(a)
Number of round tables = 9
(b)
Number of rectangular tables = 10
Answer(s): (a) 9; (b) 10