Question

an event planner is reserving rooms for a company - wide event. each ballroom can hold 120 people and each conference room can hold 16 people, and together they must hold at least the 1,360 people participating. write the inequality in standard form that describes this situation. use the given numbers and the following variables. x = the number of ballrooms y = the number of conference rooms

Explanation:

Step1: Determine people - capacity expressions

The number of people that $x$ ballrooms can hold is $120x$ (since each ballroom holds 120 people), and the number of people that $y$ conference rooms can hold is $16y$ (since each conference room holds 16 people).

Step2: Set up the inequality

They must hold at least 1360 people. So the inequality is $120x + 16y\geq1360$.

Answer:

$120x + 16y\geq1360$