Tickets to the baseball game are on sale for $2.50 off the regular price. Lincoln bought 6 tickets. If his total cost is $33, 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.
Let p be the regular price of each ticket, and let q be the discount.
The cost of 6 tickets at the regular price is 6p.
The cost of 6 tickets with a $2.50 discount is 6(p - q).
From the problem, we know that 6(p - q) = $33.
To find the regular price of each ticket, we need to solve for p.
6(p - q) = $33
p - q = 33/6
p - q = $5.50
Thus, the regular price of each ticket is $5.50.
This means that each ticket costs $5.50 without any discount.