Question

A party is thrown where 25 tables are used. Each table sits 4 or 6 people. A total of 116 people can be sat. How many six person tables are there?

Answer 1

Answer: Let's use algebra to solve the problem.

Let x be the number of 4-person tables, and y be the number of 6-person tables. We know that:

x + y = 25 (the total number of tables)

4x + 6y = 116 (the total number of people)

We can use the first equation to solve for x in terms of y:

x = 25 - y

Substituting this expression for x into the second equation, we get:

4(25 - y) + 6y = 116

Simplifying and solving for y, we get:

100 - 4y + 6y = 116

2y = 16

y = 8

Therefore, there are 8 six-person tables. To find the number of 4-person tables, we can substitute y = 8 into the equation x + y = 25:

x + 8 = 25

x = 17

So there are 17 four-person tables.

Explanation: