Pam is a wedding planner she is setting up a room to seat at least 100 guests. she has some tables that seat 10 people and some tables that seat 5 people. she only has 10 of the tables that seat 5. let x = the number of 10-person tables, and y = the number of 5-person tables. write an inequality to describe the number of tables pam could set up for the wedding

Hello,

Pam is a wedding planner She is setting up a room to seat at least 100 guests. She has some tables that seat 10 people and some tables that seat 5 people. She only has 10 of the tables that seat 5. 

Let x = the number of 10-person tables, and y = the number of 5-person tables. 

She has 10 table that fit 5 people and an unknown number of tables that could fit 10 people.

In the beginning of the passage question, it states that Pam is seating up a room to sea at least 100 guests, so we use the notation a ≥ b means that a is greater than or equal to b .

 a ≥ b

10x + 5(10)  ≥ 100 

10x + 5(10)  ≥ 100 is your answer. 

Simplfied, 10x + 5(10)  ≥ 100 = x  ≥  5

Thus, there are 5+ tables that seat 10 people. This would make sense because if there are 10 tables that fit 5 people, in total those tables would fill 50 peoples, and if there are 5 tables that fit 10 people, in total those tables would fill 50 people. 50+50 is 100. There are at least 100 guests attending, thus this is correct. 

Faith xoxo