Question

the orchestra in lancaster is putting on a benefit concert for the local childrens hospital. orchestra seating costs $49.76 per ticket and balcony seating is $37.44. the goal is to raise at least $9,300 for the hospital. write the inequality in standard form that describes this situation. use the given numbers and the following variables. x = the number of orchestra seats sold y = the number of balcony seats sold

Explanation:

Step1: Calculate money from orchestra seats

The money from selling orchestra - seats is the cost per orchestra - seat times the number of orchestra - seats sold. So the money from orchestra seats is $49.76x$.

Step2: Calculate money from balcony seats

The money from selling balcony - seats is the cost per balcony - seat times the number of balcony - seats sold. So the money from balcony seats is $37.44y$.

Step3: Set up the inequality

The total money raised is the sum of the money from orchestra seats and balcony seats, and the goal is to raise at least $9300$. So the inequality is $49.76x + 37.44y\geq9300$.

Answer:

$49.76x + 37.44y\geq9300$