A band sells x premium tickets and y regular tickets.
Premium tickets cost $20.
Regular tickets cost $5 less than a premium ticket.
The band raises $2145 from selling tickets.
Selects coefficients to represent the relationship between x and y.
To represent the relationship between x (number of premium tickets sold) and y (number of regular tickets sold), we can use the following equation:
x + y = ?
x: Number of premium tickets sold
y: Number of regular tickets sold
Since we do not have the exact values for x and y, we cannot determine the coefficients.
___x+___y=2145
To determine the coefficients that represent the relationship between x and y, we need more information or additional equations related to the values of x and y.
Let's represent the quantity of premium tickets sold as x and the quantity of regular tickets sold as y.
Since premium tickets cost $20 each, the total revenue generated from selling premium tickets would be 20x.
Regular tickets cost $5 less than premium tickets, so each regular ticket would cost $20 - $5 = $15.
Therefore, the total revenue generated from selling regular tickets would be 15y.
The total revenue from selling tickets is $2145, so we can set up the equation:
20x + 15y = 2145
Now, we have coefficients to represent the relationship between x and y: 20 for premium tickets and 15 for regular tickets.
To represent the relationship between x (number of premium tickets) and y (number of regular tickets), we need to determine the ratio in which they are being sold.
Let's start by calculating the cost of a regular ticket based on the given information. It's mentioned that regular tickets cost $5 less than a premium ticket, so the cost of a regular ticket would be $20 - $5 = $15.
To represent the relationship between x and y, we can use the coefficients m and n, where:
m = coefficient for premium tickets (x)
n = coefficient for regular tickets (y)
Based on the values we calculated, we can say that for every m premium tickets sold, the band sells n regular tickets. In other words, the relationship can be represented as:
m * $20 (cost of premium ticket) + n * $15 (cost of regular ticket) = $2145 (total raised)
Now, using this equation, we can form the relationship between x and y using appropriate coefficients.