Berta is planning a party for her friends. The room rental cost is $50 plus an additional $3 per person to cover food costs. Berta has saved up $100 dollars. What is the maximum number of people that can attend her party? Identify the inequality to solve and the maximum number of people.

A. 3x+50_<100; 16 people

B. 3x+50_<100; 50/3 people

C. 3x+50_>100; 17 people

D. 3x_<100; 33 people

A. 3x+50 ≤ 100; 16 people

Step-by-step explanation:

If x represents the number of people at Berta's party, then the cost of food is 3x. Added to the $50 cost of room rental, the total charge Berta must pay will be ...

3x + 50

She wants this to be at most $100, so her inequality is ...

3x + 50 ≤ 100

Berta can solve this by subtracting 50, then dividing by 3.

3x ≤ 50

x ≤ 16 2/3

Since x represents a number of people, and it is not possible (or desirable) to have 2/3 of a person show up, the maximum number of people that can attend Berta's party is 16.