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.(4 points)
Let p be the regular price of each ticket.
The discounted price of each ticket is p - $1.50.
Dea buys 6 tickets at the discounted price, so her total cost is 6(p - $1.50) = $51.
Simplifying the equation, we get 6p - 9 = 51.
Adding 9 to both sides, we get 6p = 60.
Dividing both sides by 6, we get p = 10.
Therefore, the regular price of each ticket is $10.
Dea bought 6 tickets at $1.50 off the regular price, so her total cost is $10 x 6 - $1.50 x 6 = $60 - $9 = $51.