In one coffee shop, the round table can seat 7 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 5 and less than 12. If there were 115 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 |
6 |
6 x 5 = 30 |
6 |
6 x 7 = 42 |
30 + 42 = 72 (x) |
8 |
8 x 5 = 40 |
9 |
9 x 7 = 63 |
40 + 63 = 103 (x) |
9 |
9 x 5 = 45 |
10 |
10 x 7 = 70 |
45 + 70 = 115 (✓) |
(a)
Number of rectangular tables = 9
(b)
Number of round tables = 10
Answer(s): (a) 9; (b) 10