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
