Question

You are helping to plan an awards banquet for your school, and you need to rent tables to seat 180 people. Tables come in two sizes. Small tables seat 4 people and large tables seat 6 people *write an equation modeling the situation

Answer 1

An equation modeling the situation is : 4 m + 6 n = 180

Explanation:

Here, the total number of guests in the banquet hall = 180

Let us assume number of tables ordered with capacity of

4 people each = m

And number of tables ordered with capacity of 6 people each = n

So, total number of people in m tables = m x ( Capacity of 1 table)

= m x (4) = 4 m

And, total number of people in n tables = n x ( Capacity of 1 table)

= n x (6) = 6 n

So, the total capacity of ( m + n) tables = 4 m + 6 n

Also, the total required capacity = 180

⇒ 4 m + 6 n = 180

Hence, an equation modeling the situation is : 4 m + 6 n = 180