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.(4 points)

Answer 1

Let's denote the regular price of each ticket as \( p \). Since tickets are on sale for $1.50 off the regular price, the sale price of each ticket can be represented as \( p - 1.50 \).

Dea buys 6 tickets at this sale price, and her total cost is $51. We can write the equation representing this situation as:

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

Now, we can simplify this equation:

1. Distribute the 6:

\[ 6p - 9 = 51 \]

2. Add 9 to both sides:

\[ 6p = 51 + 9 \]

\[ 6p = 60 \]

3. Divide by 6:

\[ p = 10 \]

Thus, the regular price of each ticket is \( p = 10 \).

Conclusion:

The regular price of each ticket is $10. This means that with the $1.50 discount, the sale price of each ticket is $8.50.

Answer 2

make it like one sentence