Which linear equation represents the total number of tickets sold if tickets at SGP's school play cost $4 for children and $5 for adults, totaling $440?
Understand the Problem
The question is asking which linear equation models the total number of tickets sold at SGP's school play, given the prices for children's and adult tickets and the total sales amount.
Answer
The linear equation representing the total number of tickets sold is $4x + 5y = 440$.
Answer for screen readers
The correct equation is $4x + 5y = 440$.
Steps to Solve
- Identify Variables and Ticket Prices
Let $x$ be the number of children tickets sold and $y$ be the number of adult tickets sold. The prices for the tickets are $4$ for children and $5$ for adults.
- Formulate Total Sales Equation
The total sales amount can be expressed as: $$ 4x + 5y = 440 $$
- Rearranging to Standard Form
The equation has already been arranged in standard form, where $Ax + By = C$. Here:
- $A = 4$,
- $B = 5$,
- $C = 440$.
- Checking the Options Provided
Now, we compare the derived equation: $$ 4x + 5y = 440 $$ with the options given in the question.
- Identifying the Correct Option
The correct equation is the one that matches our derived equation.
The correct equation is $4x + 5y = 440$.
More Information
This equation represents the relationship between the number of children's and adult tickets sold with their respective prices and the total revenue collected.
Tips
- Mistaking the total revenue equations by misapplying the ticket prices or the variables.
- Forgetting to include both types of tickets in the equation.
AI-generated content may contain errors. Please verify critical information
