Problema Solution
Band A will play for $2500 plus 50% of the money taken in from ticket sales. Band B will play for a flat fee of $5500. Three hundred couples are expected to attend. What is the most you can charge per couple so that Band A is cheaper than Band B?
Answer provided by our tutors
let 'x' be the charge per couple
since 300 couple will attend there will be total of 300x dollar from the tickets
Band A will receive: 2500 + (50/100)300x = 2500 + 150x
Band B will receive: a flat fee of $5,500
What is the most you can charge per couple so that Band A is cheaper than Band B that is
2500 + 150x < 5500
by solving the inequality we find
x<20
click here to see the step by step solution of the inequality
the most you can charge per couple is less than $20.