In one eating house, the rectangular table can seat 7 diners and the round table can seat 4 diners. During dinner time, all the tables in the eating house were occupied. The number of each type of tables in the eating house is more than 4 and less than 11. If there were 95 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 |
5 |
5 x 4 = 20 |
5 |
5 x 7 = 35 |
20 + 35 = 55 (x) |
7 |
7 x 4 = 28 |
8 |
8 x 7 = 56 |
28 + 56 = 84 (x) |
8 |
8 x 4 = 32 |
9 |
9 x 7 = 63 |
32 + 63 = 95 (✓) |
(a)
Number of round tables = 8
(b)
Number of rectangular tables = 9
Answer(s): (a) 8; (b) 9