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Musya8 [376]
3 years ago
14

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 si

zes. Small tables seat 4 people and large tables seat 6 people *write an equation modeling the situation
Mathematics
1 answer:
pshichka [43]3 years ago
3 0

Answer:

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

Step-by-step 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

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