The Johnson family decided to spend their Saturday night at the state fair. They paid $10 for parking and bought 5 tickets. They spent a total of $65.

Which equation represents the cost per ticket?
A.5x+10=65

B.10x+5=65

C.10+5=65x

D.10−5x=65


To solve for the cost per ticket, let's break down the problem.

- The total amount the Johnson family spent is **$65**.
- They paid **$10** for parking.
- They bought **5 tickets**.

Let **x** represent the cost of one ticket.

The total cost can be represented as:
- The total spent is equal to the parking cost ($10) plus the cost of 5 tickets.

This leads to the equation:

\[
10 + 5x = 65
\]

Solving this equation:

\[
5x = 65 - 10
\]
\[
5x = 55
\]
\[
x = \frac{55}{5} = 11
\]

Thus, the correct equation is **A. 5x + 10 = 65**.

Would you like more details or have any questions?

Here are 5 related questions to explore further:
1. How would the equation change if they bought 7 tickets instead of 5?
2. What if the total spent was $80, how would that impact the equation?
3. Can you solve the equation if the parking cost increased to $15?
4. What is the total cost if each ticket cost $12 instead?
5. How can this equation be rearranged to isolate $x$ from the start?

**Tip**: When setting up word problems with unknown values, translate each step into a mathematical expression to build your equation.

The Johnson family decided to spend their Saturday night at the state fair. They paid $10 for parking and bought 5 tickets. They spent a total of $65.

Which equation represents the cost per ticket?
A. 5x + 10 = 65
B. 10x + 5 = 65
C. 10 + 5 = 65x
D. 10 − 5x = 65

Learn how to solve a linear equation to find the cost per ticket at a state fair. The Johnson family spends $65, including $10 for parking and 5 tickets. Explore step-by-step how to solve 5x + 10 = 65. Ideal for Grades 6-8 students.

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