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)

1 answer

Let's say the regular price of each ticket is p.
According to the information given, the tickets are on sale for $1.50 off the regular price. Therefore, the cost of each ticket after the discount is p - $1.50.
Dea buys 6 tickets, so the total cost is 6 times the cost of each ticket after the discount, which is 6(p - $1.50).
The total cost is given as $51.
Therefore, we can write the equation:
6(p - $1.50) = $51
Simplifying the equation:
6p - 9 = $51
Adding 9 to both sides of the equation:
6p = $60
Dividing both sides of the equation by 6:
p = $10
Therefore, the regular price of each ticket is $10.

Sentence to explain the answer:
The regular price of each ticket is $10 because the total cost of 6 tickets, with a $1.50 discount on each ticket, is $51.