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's assume the regular price of each ticket is p dollars. According to the given information, Dea buys 6 tickets, so the total cost would be 6p dollars. But since the tickets are on sale for $1.50 off the regular price, the total cost is $51, so we have the equation:
6p - 1.50 = 51
To solve this equation, we can add 1.50 to both sides:
6p = 52.50
Finally, we can divide both sides by 6 to find the value of p:
p = 52.50 / 6 = $8.75
Therefore, the regular price of each ticket is $8.75.
Sentence to explain the answer: The regular price of each ticket is $8.75 because when Dea buys 6 tickets at $1.50 off the regular price, her total cost is $51.