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

Question

. Then write a sentence to explain your answer.

Answer 1

Let the regular price of each ticket be \( p \). Since the tickets are on sale for $1.50 off, the sale price of each ticket is \( p - 1.50 \).

Dea buys 6 tickets at the sale price, and her total cost is $51. We can set up the equation as follows:

\[ 6(p - 1.50) = 51 \]

Now, we will solve for \( p \):

1. Distribute the 6: \[ 6p - 9 = 51 \]

2. Add 9 to both sides: \[ 6p = 60 \]

3. Divide both sides by 6: \[ p = 10 \]

Now we have found that the regular price of each ticket is \( p = 10 \) dollars.

To explain the answer in a sentence:

The regular price of each ticket is $10.00, as Dea's total cost for 6 tickets at a discounted price of $1.50 less than the regular price amounts to $51.