Tickets to the baseball game are on sale for $1.50 off the regular price. Dea buys 6 tickets. Of 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.

Question

Tickets to the baseball game are on sale for $1.50 off the regular price. Dea buys 6 tickets. Of 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 dollars.

Since the 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, so her total cost would be 6 times the discounted price, which is 6(p - $1.50).

We know that Dea's total cost is $51, so we can write the equation:

6(p - $1.50) = $51

Now let's solve the equation:

6p - 9 = 51

Adding 9 to both sides:

6p = 60

Dividing both sides by 6:

p = 10

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

Explanation:
Dea buys 6 tickets at a discounted price of p - $1.50 each. Her total cost is $51. We can write the equation 6(p - $1.50) = $51 to represent this situation. By solving the equation, we find that p, the regular price of each ticket, is $10.