Tickets to a 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

1 answer

Let's define the variable:

  • Let \( p \) represent the regular price of each ticket.

According to the problem, tickets are on sale for $1.50 off the regular price. Therefore, the sale price of each ticket is: \[ p - 1.50 \]

Dea buys 6 tickets, and the total cost for these tickets is $51. We can set up the following equation based on the information provided: \[ 6(p - 1.50) = 51 \]

Now, we can solve the equation step by step.

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

  2. Add 9 to both sides to isolate the term with \( p \): \[ 6p = 51 + 9 \] \[ 6p = 60 \]

  3. Divide both sides by 6 to solve for \( p \): \[ p = \frac{60}{6} \] \[ p = 10 \]

The regular price of each ticket is $10.00.

Explanation: The regular price of each baseball ticket is $10.00, and with a $1.50 discount applied, Dea was able to purchase 6 tickets for a total of $51.