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
<span>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 t</span><span>he notation a ≥ b </span>means<span> that a is greater than or </span>equal<span> to b .
</span> a ≥ b
10x + 5(10) <span> ≥ 100
</span>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 <span>at least 100 guests attending, thus this is correct.
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