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.
Let's assume the regular price of each ticket is p.
Since tickets are on sale for $1.50 off the regular price, the discounted price of each ticket is p - $1.50.
Dea buys 6 tickets in total, so her total cost is 6 times the discounted price of each ticket, which is 6(p - $1.50).
We are told that her total cost is $51, so we can write this as an equation:
6(p - $1.50) = $51
Let's solve this equation:
6p - 9 = 51
6p = 60
p = 10
Therefore, the regular price of each ticket is $10.
Explanation: We start by assuming the regular price of each ticket is p. Since Dea buys 6 tickets, her total cost is 6 times the discounted price of each ticket, which is 6(p - $1.50). We are told her total cost is $51, so we set up the equation 6(p - $1.50) = $51. Solving this equation, we find that the regular price of each ticket is $10.