Round tables seating 8 people and rectangular tables seating 12 people are being used at a banquet for 8th graders. The ratio of round tables to rectangular tables is 2 to 1. How many tables are used to seat 336 students at the banquet, if no table has an empty seat?

36 tables are used to seat the students at the banquet: 12 rectangular and 24 round.

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Round tables = 8 seats

Rectangular tables = 12 seats

Ratio of round tables to rectangular tables = 2:1

Number of students = 336

2. How many tables are used to seat 336 students at the banquet, if no table has an empty seat?

x = Number of rectangular tables

2x = Number of round tables

Let's solve for x, using this equation:

12x + 8 (2x) = 336

12x + 16x = 336

28x = 336

x = 336/28

x = 12 ⇒ 2x = 24

12 + 24 = 36

36 tables are used to seat the students at the banquet: 12 rectangular and 24 round.