Question

Theo is renting two kinds of tables for his party. One type of table seats 4 people and the other seats 6 people. If 36 people will be at his party and he rents 7 tables, how many of each type of table does he rent?

Answer 1

3 tables are 4-seated table and 4 tables are 6-seated table.

Step-by-step explanation:

Let us assume,

The 4 seats table be type A table and the 6 seats table be type B table.

• The number of type A seat = x
• The number of type B seat = y
• Total table rented = 7 tables
• Total people in party = 36 people

x+y = 7  --------(1)

4x+6y = 36  -------(2)

Multiply (1) by 6 and subtract (2) from (1)

  6x+6y = 42

- (4x+6y = 36)

  2x      = 6  

x = 6/2

x = 3

The number of 4 seated table is 3.

Substitute x=3 in (1)

3+y = 7

y = 4

The number of 6 seated table is 4.