Question

Tickets at the LHS production of Seussical were $5 at the door or $4 in advance. On opening night, they took in $440 in sales. Fill in the blanks to write an equation that represents this scenario.

A) 4x + 5y = 440
B) 5x + 4y = 440
C) 4x - 5y = 440
D) 5x - 4y = 440

Answer 1

The equation representing the ticket sales for the LHS production of Seussical is B) 5x + 4y = 440, where 'x' is the number of tickets sold at the door and 'y' is the number of advance tickets sold.

Step-by-step explanation:

The correct equation to represent the scenario of ticket sales at the LHS production of Seussical is option B) 5x + 4y = 440. This equation reflects the situation where x is the number of tickets sold at the door for $5 each, and y is the number of tickets sold in advance for $4 each. The total revenue from ticket sales is given as $440. Therefore, the right side of the equation sums up the sales to match this total revenue.

Step-by-step, we get:

1. Define variables: Let x represent the number of tickets sold at the door and y represent the number of tickets sold in advance.
2. Multiply the price per ticket by the number of tickets sold for each category: $5x for door sales and $4y for advance sales.
3. Sum these products to match the total sales revenue: $5x + $4y.
4. Set the sum equal to the total revenue to find the equation: $5x + $4y = $440.