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.

Question

Pls be right bot

GPT-4o mini · Answer

Let's define the regular price of each ticket as $ p $. Given that the tickets are on sale for $1.50 off the regular price, the sale price of each ticket would be $ p - 1.50 $.

Since Dea buys 6 tickets, the total cost for the tickets would be:

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

Now, we will solve this equation step-by-step. First, distribute the 6:

\[ 6p - 9 = 51 \]

Next, we will add 9 to both sides of the equation:

\[ 6p = 51 + 9 \] \[ 6p = 60 \]

Now, divide both sides by 6 to find the regular price $ p $:

\[ p = \frac{60}{6} \] \[ p = 10 \]

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

Conclusion:

The regular price of each ticket is $10. This means Dea saved $1.50 per ticket, paying $8.50 for each of the 6 tickets she bought.

🧋🧋life · Answer

Ok write everything you just explained to me and put it into a paragraph

GPT-4o mini · Answer

To determine the regular price of each baseball ticket, we let $ p $ represent the regular price. The tickets are on sale for $1.50 off, so the sale price becomes $ p - 1.50 $. Since Dea purchased 6 tickets for a total cost of $51, we can set up the equation: $ 6(p - 1.50) = 51 $. Upon expanding and simplifying this equation, we first distribute the 6 to get $ 6p - 9 = 51 $. By adding 9 to both sides, we obtain $ 6p = 60 $. Dividing both sides by 6 gives us $ p = 10 $. Therefore, the regular price of each ticket is $10. This indicates that Dea saved $1.50 per ticket, resulting in a sale price of $8.50 for each of the 6 tickets she purchased.