Tickets to the 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 (make it short and simple)

Answer 1

Let \( p \) represent the regular price of each ticket. Since the tickets are on sale for $1.50 off, the sale price per ticket is \( p - 1.50 \).

Dea buys 6 tickets, and her total cost is $51. Therefore, we can set up the equation:

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

Now, we will solve for \( p \):

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

2. Add 9 to both sides: \[ 6p = 60 \]

3. Divide by 6: \[ p = 10 \]

Thus, the regular price of each ticket is \( \boxed{10} \).

In summary, the regular price of each ticket is $10.