Tickets to the baseball game are on sale for $1.50 off the regular price. Dea buys 6 tickets. If

Question

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. (4 points)

Answer 1

Let's denote the regular price of each ticket as \( p \). The discounted price of each ticket can then be expressed as \( p - 1.50 \).

Dea buys 6 tickets at the discounted price, so the equation representing the total cost is:

\[ 6(p - 1.50) = 51 \]

Now, we can solve this equation step by step.

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

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 \( p \): \[ p = \frac{60}{6} \] \[ p = 10 \]

Thus, the regular price of each ticket is $10.

In conclusion, the regular price of each ticket is $10, and with the discount applied, each ticket costs $8.50, leading to a total expense of $51 for 6 tickets.