The drama club is selling tickets to their play to raise money for the show's expenses. Each student ticket sells for $5 and each adult ticket sells for $9.50. The drama club must make a minimum of $570 from ticket sales to cover the show's costs. Write an inequality that could represent the possible values for the number of student tickets sold, s, and the number of adult tickets sold, a, that would satisfy the constraint. Answer:

Question

The drama club is selling tickets to their play to raise money for the show's expenses. Each student ticket sells for  $5 and each adult ticket sells for  $9.50. The drama club must make a minimum of  $570 from ticket sales to cover the show's costs. Write an inequality that could represent the possible values for the number of student tickets sold,  s, and the number of adult tickets sold,  a, that would satisfy the constraint. Answer:

Bytelearn · Accepted Answer

Define Variables: Let's define the variables: s = number of student tickets sold a = number of adult tickets sold The price for each student ticket is $5, and the price for each adult ticket is $9.50. The drama club needs to make at least $570 from ticket sales.Write Revenue Equation: We can write an equation to represent the total revenue from ticket sales: Total Revenue = (Price per student ticket * Number of student tickets) + (Price per adult ticket * Number of adult tickets)Substitute Prices and Revenue: Substitute the given prices and the total revenue requirement into the equation: $570 ≤ 5s + 9.5a This inequality represents the condition that the total revenue from selling s student tickets and a adult tickets must be at least $570.Form Inequality: Now we have the inequality that represents the possible values for s and a: 5s + 9.5a ≥ 570 This inequality must be satisfied to ensure the drama club covers the show's costs.

Full solution

More problems from One-step inequalities: word problems

Related topics