Tickets to the baseball game are on sale for $1.50 off the regular price. Sea 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 assume the regular price of each ticket is p.
Since Sea buys 6 tickets, her total cost would be 6p.
The tickets are on sale for $1.50 off the regular price, so the sale price would be p - $1.50.
Since Sea's total cost is $51, we can set up the equation 6(p - $1.50) = $51.
Expanding the equation, we get 6p - 9 = 51.
Adding 9 to both sides of the equation, we get 6p = 60.
Dividing both sides of the equation by 6, we get p = 10.
Therefore, the regular price of each ticket is $10.
This means that Buy p (6 + $1.50) = $51, or 6 tickets at a sale price of $1.50 off the regular price equals a total cost of $51.