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 of the form p(x+q)=r. Then write a sentence to explain your answer

Answer 1

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

Dea buys 6 tickets at the sale price, so her total cost is given by:

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

Now, we can solve this equation step by step:

1. Distribute the 6:

\[ 6p - 9 = 51 \]

2. Add 9 to both sides:

\[ 6p = 60 \]

3. Divide by 6:

\[ p = 10 \]

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

In summary, the regular price of each ticket is $10, which is determined from the equation representing the total cost of 6 tickets after applying the discount.