A school is holding a carnival and hopes to raise $500. Child tickets cost $3, and adult tickets cost $5. If the school sells 
 child tickets and 
 adult tickets, then the equation 
 expresses the fact that the school raised exactly from ticket sales.

 

Solve the equation for 
.

The problem gives us the goal of raising $500 through ticket sales, where child tickets cost $3 and adult tickets cost $5. Let:

- $ x $ represent the number of child tickets sold.
- $ y $ represent the number of adult tickets sold.

The equation expressing the total amount raised is:

\[
3x + 5y = 500
\]

Now, we want to solve this equation for one of the variables, say $ y $, in terms of $ x $. To solve for $ y $, follow these steps:

### Step 1: Isolate $ 5y $
\[
5y = 500 - 3x
\]

### Step 2: Solve for $ y $
\[
y = \frac{500 - 3x}{5}
\]

This equation now expresses the number of adult tickets $ y $ in terms of the number of child tickets $ x $.

---

Would you like further details on solving or interpreting this equation?

Here are 5 related questions:
1. How many child tickets were sold if 40 adult tickets were sold?
2. What is the maximum number of child tickets that can be sold if no adult tickets are sold?
3. How would the equation change if adult tickets were $6 each?
4. If the goal is changed to $600, how does this affect the solution for $ y $?
5. Can this equation be graphed, and if so, what does the graph represent?

**Tip**: When solving equations with two variables, isolating one variable helps in analyzing how one depends on the other.

A school is holding a carnival and hopes to raise $500. Child tickets cost $3, and adult tickets cost $5. If the school sells child tickets and adult tickets, then the equation expresses the fact that the school raised exactly from ticket sales. Solve the equation for y.

Learn how to solve the linear equation 3x + 5y = 500, representing ticket sales at a school carnival. This problem covers algebraic concepts, including isolating variables in linear equations. Suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation