In one coffee shop, the oval table can seat 10 people and the round table can seat 3 people. During lunch time, all the tables in the coffee shop were occupied. The number of each type of tables in the coffee shop is more than 6 and less than 13. If there were 127 people, find
(a) the number of round tables
(b) the number of oval tables
Round tables |
Number of people around round tables |
Oval tables |
Number of people around oval tables |
Total number of people |
7 |
7 x 3 = 21 |
7 |
7 x 10 = 70 |
21 + 70 = 91 (x) |
8 |
8 x 3 = 24 |
9 |
9 x 10 = 90 |
24 + 90 = 114 (x) |
9 |
9 x 3 = 27 |
10 |
10 x 10 = 100 |
27 + 100 = 127 (✓) |
(a)
Number of round tables = 9
(b)
Number of oval tables = 10
Answer(s): (a) 9; (b) 10