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

3 answers

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

The total cost of the tickets without any discount is 6p dollars.

According to the information given, Dea buys the tickets for $1.50 off the regular price, so each ticket costs (p - $1.50).

The total cost of the tickets for Dea is 6(p - $1.50) dollars.

Since her total cost is $51, we can write the equation:
6(p - $1.50) = $51

To solve this equation, we need to distribute the 6:
6p - 9 = $51

Next, let's isolate the p term by adding 9 to both sides of the equation:
6p = $60

Finally, divide both sides of the equation by 6 to solve for p:
p = $10

Therefore, the regular price of each ticket is $10.
can you make that shorter
Sure!

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

Dea buys 6 tickets. The total cost of the tickets without any discount is 6p dollars.

With a discount of $1.50 off the regular price, each ticket costs (p - $1.50).

The total cost for Dea is 6(p - $1.50) dollars.

Since her total cost is $51, we can write the equation: 6(p - $1.50) = $51.

Simplifying, we have 6p - 9 = $51.

Adding 9 to both sides, we get 6p = $60.

Dividing both sides by 6, we find that p = $10.

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