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, how much 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 x be the regular price of each ticket. The discounted price of each ticket is x - 1.50.
Dea buys 6 tickets at a discounted price, so her total cost is 6(x - 1.50).
Given that her total cost is $51, we can write the equation: 6(x - 1.50) = 51.
Simplifying the equation, we get: 6x - 9 = 51.
Adding 9 to both sides, we get: 6x = 60.
Dividing both sides by 6, we get: x = 10.

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