In one coffee shop, the round table can seat 10 customers and the oval table can seat 3 customers. During the buffet, all the tables in the coffee shop were occupied. The number of each type of tables in the coffee shop is more than 8 and less than 14. If there were 153 customers, find
(a) the number of oval tables
(b) the number of round tables
Oval tables |
Number of customers around oval tables |
Round tables |
Number of customers around round tables |
Total number of customers |
9 |
9 x 3 = 27 |
9 |
9 x 10 = 90 |
27 + 90 = 117 (x) |
10 |
10 x 3 = 30 |
11 |
11 x 10 = 110 |
30 + 110 = 140 (x) |
11 |
11 x 3 = 33 |
12 |
12 x 10 = 120 |
33 + 120 = 153 (✓) |
(a)
Number of oval tables = 11
(b)
Number of round tables = 12
Answer(s): (a) 11; (b) 12