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

Answer 1

Let's say the regular price of each ticket is p.

The discount given is $1.50 off the regular price, so the discounted price is p - $1.50.

Dea buys 6 tickets at the discounted price, so her total cost is 6 times the discounted price, which is 6(p - $1.50).

We are given that her total cost is $51, so we have the equation:
6(p - $1.50) = $51

Now we will write and solve the equation:

6p - 9 = 51
6p = 60
p = 10

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

Sentence to explain the answer: The regular price of each ticket is $10 if Dea's total cost for 6 tickets, after a discount of $1.50 off the regular price, is $51.