Question

Tickets to a baseball game are on sale for $1.50 off the regular price. Dea buys 6 tickets If her total cost is $51. What is the regular price of each ticket Write and solve an equation of the form p(x +_ q) =r. Then write a sentence to explain your answer

Answer 1

Let's define the variable:
- Let \( p \) represent the regular price of each ticket.

According to the problem, tickets are on sale for $1.50 off the regular price. Therefore, the sale price of each ticket is:
\[
p - 1.50
\]

Dea buys 6 tickets, and the total cost for these tickets is $51. We can set up the following equation based on the information provided:
\[
6(p - 1.50) = 51
\]

Now, we can solve the equation step by step.

1. Distribute the 6:
\[
6p - 9 = 51
\]

2. Add 9 to both sides to isolate the term with \( p \):
\[
6p = 51 + 9
\]
\[
6p = 60
\]

3. Divide both sides by 6 to solve for \( p \):
\[
p = \frac{60}{6}
\]
\[
p = 10
\]

The regular price of each ticket is **$10.00**.

**Explanation:**
The regular price of each baseball ticket is $10.00, and with a $1.50 discount applied, Dea was able to purchase 6 tickets for a total of $51.