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.

Answer 1

Let's say the regular price of each ticket is p dollars.
According to the information given, the price of each ticket is $1.50 off the regular price, so the discounted price of each ticket is p - $1.50.

Dea buys 6 tickets, so the total cost of the tickets is 6 times the discounted price of each ticket, which is 6(p - $1.50).

We're told that Dea's total cost is $51, so we can set up the following equation:
6(p - $1.50) = $51.

Now we solve for p:
6p - 9 = $51.
Adding 9 to both sides:
6p = $60.
Dividing by 6:
p = $10.

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

To summarize the solution, the equation 6(p - $1.50) = $51 is used to find the regular price of each ticket. The equation is manipulated to isolate p, and it is found that p = $10.