In one coffee shop, the round table can seat 9 patrons and the rectangular table can seat 5 patrons. During dinner time, all the tables in the coffee shop were occupied. The number of each type of tables in the coffee shop is more than 4 and less than 11. If there were 107 patrons, find
(a) the number of rectangular tables
(b) the number of round tables
Rectangular tables |
Number of patrons around rectangular tables |
Round tables |
Number of patrons around round tables |
Total number of patrons |
5 |
5 x 5 = 25 |
5 |
5 x 9 = 45 |
25 + 45 = 70 (x) |
6 |
6 x 5 = 30 |
7 |
7 x 9 = 63 |
30 + 63 = 93 (x) |
7 |
7 x 5 = 35 |
8 |
8 x 9 = 72 |
35 + 72 = 107 (✓) |
(a)
Number of rectangular tables = 7
(b)
Number of round tables = 8
Answer(s): (a) 7; (b) 8